Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
6601	Convert to Interval Notation	\|7x+3\|<31	$\| 7 x + 3 \| < 31$
6602	Convert to Interval Notation	\|x-2\|<1	$\| x - 2 \| < 1$
6603	Find the x and y Intercepts	f(x)=(x+4)(x-3)(x+3)	$f (x) = (x + 4) (x - 3) (x + 3)$
6604	Convert to Interval Notation	-1/2x^2-7/2x-5<0	$- \frac{1}{2} x^{2} - \frac{7}{2} x - 5 < 0$
6605	Convert to Interval Notation	\|3x^2-7x+2\|>100	$\| 3 x^{2} - 7 x + 2 \| > 100$
6606	Convert to Interval Notation	\|4x\|>28	$\| 4 x \| > 28$
6607	Convert to Interval Notation	\|3x-2\|<4	$\| 3 x - 2 \| < 4$
6608	Convert to Interval Notation	\|2x^2+7x-15\|<10	$\| 2 x^{2} + 7 x - 15 \| < 10$
6609	Convert to Interval Notation	(x^2-1)/x<0	$\frac{x^{2} - 1}{x} < 0$
6610	Convert to Interval Notation	\|1/4-2/3x\|+1/2>6/5	$\| \frac{1}{4} - \frac{2}{3} x \| + \frac{1}{2} > \frac{6}{5}$
6611	Convert to Interval Notation	\|x/(x+4)\|<5	$\| \frac{x}{x + 4} \| < 5$
6612	Convert to Interval Notation	x^2+4x-12>0	$x^{2} + 4 x - 12 > 0$
6613	Convert to Interval Notation	x^2+4x-32<0	$x^{2} + 4 x - 32 < 0$
6614	Convert to Interval Notation	x^2+4x+4>0	$x^{2} + 4 x + 4 > 0$
6615	Convert to Interval Notation	x^2+2x-8>0	$x^{2} + 2 x - 8 > 0$
6616	Convert to Interval Notation	x^2+13x+40>0	$x^{2} + 13 x + 40 > 0$
6617	Convert to Interval Notation	x^2+6x>-10	$x^{2} + 6 x > - 10$
6618	Convert to Interval Notation	x^2+x-20>0	$x^{2} + x - 20 > 0$
6619	Convert to Interval Notation	x^2-12>-2x^2-16x	$x^{2} - 12 > - 2 x^{2} - 16 x$
6620	Evaluate	log base 18 of 14	$\log_{18} (14)$
6621	Convert to Interval Notation	x^2-8x+15<0	$x^{2} - 8 x + 15 < 0$
6622	Convert to Interval Notation	x^3-x^2-20x<0	$x^{3} - x^{2} - 20 x < 0$
6623	Convert to Interval Notation	x^2-7x-8<0	$x^{2} - 7 x - 8 < 0$
6624	Convert to Interval Notation	x^3+x^2+64x+64<0	$x^{3} + x^{2} + 64 x + 64 < 0$
6625	Solve for x	4/(x+2)+9/(x^2-4)=1	$\frac{4}{x + 2} + \frac{9}{x^{2} - 4} = 1$
6626	Convert to Interval Notation	x/(x^2-16)<0	$\frac{x}{x^{2} - 16} < 0$
6627	Convert to Interval Notation	(2x)/5-1/2*(x-3)<(2x)/3-3/10-(x+2)	$\frac{2 x}{5} - \frac{1}{2} \cdot (x - 3) < \frac{2 x}{3} - \frac{3}{10} - (x + 2)$
6628	Convert to Interval Notation	21/(x-6)>18/(x-1)	$\frac{21}{x - 6} > \frac{18}{x - 1}$
6629	Convert to Interval Notation	2/5x+1<1/5-2x	$\frac{2}{5} x + 1 < \frac{1}{5} - 2 x$
6630	Convert to Interval Notation	1/(x+4)>1/(x-3)	$\frac{1}{x + 4} > \frac{1}{x - 3}$
6631	Convert to Interval Notation	(2x)/(16-x^2)<0	$\frac{2 x}{16 - x^{2}} < 0$
6632	Convert to Interval Notation	3x^2-5x-2<0	$3 x^{2} - 5 x - 2 < 0$
6633	Simplify	(x/y-y/x)/(1/(x^2)-1/(y^2))	$\frac{\frac{x}{y} - \frac{y}{x}}{\frac{1}{x^{2}} - \frac{1}{y^{2}}}$
6634	Convert to Interval Notation	(-x+2)/(x-7)>0	$\frac{- x + 2}{x - 7} > 0$
6635	Convert to Interval Notation	x^3-2x^2-3x>0	$x^{3} - 2 x^{2} - 3 x > 0$
6636	Find the Domain and Range	x^2+(y-2)^2=49	$x^{2} + {(y - 2)}^{2} = 49$
6637	Convert to Interval Notation	x^3-5x^2-14x>0	$x^{3} - 5 x^{2} - 14 x > 0$
6638	Convert to Interval Notation	x^3-64x>0	$x^{3} - 64 x > 0$
6639	Convert to Interval Notation	0<2-1/3y<4	$0 < 2 - \frac{1}{3} y < 4$
6640	Convert to Interval Notation	(x-6)/(x+2)>0	$\frac{x - 6}{x + 2} > 0$
6641	Convert to Interval Notation	y^2+49>14y	$y^{2} + 49 > 14 y$
6642	Convert to Interval Notation	1+0.5x<5	$1 + 0.5 x < 5$
6643	Convert to Interval Notation	0<x<7	$0 < x < 7$
6644	Convert to Interval Notation	(x+5)/(x-5)>0	$\frac{x + 5}{x - 5} > 0$
6645	Convert to Interval Notation	2\|2x-5\|+8>22	$2 \| 2 x - 5 \| + 8 > 22$
6646	Convert to Interval Notation	10x>4x-5	$10 x > 4 x - 5$
6647	Convert to Interval Notation	-2x(x+4)^2(x^2+4)(4-x)^3>0	$- 2 x {(x + 4)}^{2} (x^{2} + 4) {(4 - x)}^{3} > 0$
6648	Convert to Interval Notation	25x^3+100x^2-36x-144>0	$25 x^{3} + 100 x^{2} - 36 x - 144 > 0$
6649	Convert to Interval Notation	2x^2-5x>3	$2 x^{2} - 5 x > 3$
6650	Convert to Interval Notation	4x^3-12x^2>0	$4 x^{3} - 12 x^{2} > 0$
6651	Convert to Interval Notation	4+\|x-5\|>5/8	$4 + \| x - 5 \| > \frac{5}{8}$
6652	Convert to Interval Notation	4x^2+3x>10	$4 x^{2} + 3 x > 10$
6653	Convert to Interval Notation	4x^2+9<6x	$4 x^{2} + 9 < 6 x$
6654	Convert to Interval Notation	4x^2+19x-5<0	$4 x^{2} + 19 x - 5 < 0$
6655	Convert to Interval Notation	4x^3+8x^2-x-2>0	$4 x^{3} + 8 x^{2} - x - 2 > 0$
6656	Convert to Interval Notation	3x+11<5	$3 x + 11 < 5$
6657	Convert to Interval Notation	3x+4>1/3*(x-2)	$3 x + 4 > \frac{1}{3} \cdot (x - 2)$
6658	Convert to Interval Notation	6x-9-x^2>0	$6 x - 9 - x^{2} > 0$
6659	Convert to Interval Notation	-7(0.4)^x+19<5	$- 7 {(0.4)}^{x} + 19 < 5$
6660	Convert to Interval Notation	5x^2+12x<9	$5 x^{2} + 12 x < 9$
6661	Convert to Interval Notation	5-3x>7x-3	$5 - 3 x > 7 x - 3$
6662	Convert to Interval Notation	8x-1>4x+11	$8 x - 1 > 4 x + 11$
6663	Convert to Interval Notation	cos(x)=( square root of 3)/2	$\cos (x) = \frac{\sqrt{3}}{2}$
6664	Convert to Interval Notation	cos(x)=( square root of 3)/2*0=x<2pi	$\cos (x) = \frac{\sqrt{3}}{2} \cdot 0 = x < 2 π$
6665	Convert to Interval Notation	p(n)>n+1	$p (n) > n + 1$
6666	Convert to Interval Notation	2-x<3x+1<10x	$2 - x < 3 x + 1 < 10 x$
6667	Convert to Interval Notation	2x>4/(x+1)	$2 x > \frac{4}{x + 1}$
6668	Convert to Interval Notation	2x-5>x+2	$2 x - 5 > x + 2$
6669	Convert to Interval Notation	-3\|4-t\|>-6	$- 3 \| 4 - t \| > - 6$
6670	Find the Domain	square root of 5-x+ square root of x^2-4	$\sqrt{5 - x} + \sqrt{x^{2} - 4}$
6671	Convert to Interval Notation	20-2p>-2(p+2)+4p	$20 - 2 p > - 2 (p + 2) + 4 p$
6672	Convert to Interval Notation	2x^2-7x>9	$2 x^{2} - 7 x > 9$
6673	Convert to Interval Notation	25x^2+16<40x	$25 x^{2} + 16 < 40 x$
6674	Convert to Interval Notation	2x^2+13x-7<0	$2 x^{2} + 13 x - 7 < 0$
6675	Convert to Interval Notation	2x^2+7x<15	$2 x^{2} + 7 x < 15$
6676	Convert to Interval Notation	2x^2<9x+5	$2 x^{2} < 9 x + 5$
6677	Convert to Interval Notation	3x^2-3x<2x^2+4	$3 x^{2} - 3 x < 2 x^{2} + 4$
6678	Convert to Interval Notation	3x^2+x-2<0	$3 x^{2} + x - 2 < 0$
6679	Convert to Interval Notation	3x^2-5x<2x^2+14	$3 x^{2} - 5 x < 2 x^{2} + 14$
6680	Convert to Interval Notation	4x^2<13x-3	$4 x^{2} < 13 x - 3$
6681	Convert to Interval Notation	4\|x+2\|-3<13	$4 \| x + 2 \| - 3 < 13$
6682	Convert to Interval Notation	4x^2+9x-9>0	$4 x^{2} + 9 x - 9 > 0$
6683	Convert to Interval Notation	4x(x-2)<(2x-1)(x-3)	$4 x (x - 2) < (2 x - 1) (x - 3)$
6684	Convert to Interval Notation	4x-2<x+8<9x+1	$4 x - 2 < x + 8 < 9 x + 1$
6685	Convert to Interval Notation	5x^2+11x>12	$5 x^{2} + 11 x > 12$
6686	Convert to Interval Notation	x^4(1-3x)(5x+2)^3>0	$x^{4} (1 - 3 x) {(5 x + 2)}^{3} > 0$
6687	Convert to Interval Notation	4z-16<-12+3z	$4 z - 16 < - 12 + 3 z$
6688	Convert to Interval Notation	5x^2+18x<8	$5 x^{2} + 18 x < 8$
6689	Graph	y=2- log of x	$y = 2 - \log (x)$
6690	Convert to Interval Notation	5x-16>9	$5 x - 16 > 9$
6691	Convert to Interval Notation	xy>0	$x y > 0$
6692	Convert to Interval Notation	y<3x-2	$y < 3 x - 2$
6693	Graph	theta=(5pi)/6	$θ = \frac{5 π}{6}$
6694	Convert to Interval Notation	y>x^2+2x-9	$y > x^{2} + 2 x - 9$
6695	Convert to Interval Notation	((x-1)\|x-4\|)/( square root of x+3)>0	$\frac{(x - 1) \| x - 4 \|}{\sqrt{x + 3}} > 0$
6696	Convert to Interval Notation	(2x-1)^(2/3)<x^(1/3)	${(2 x - 1)}^{\frac{2}{3}} < x^{\frac{1}{3}}$
6697	Solve for ?	sin(2theta)=1/2	$\sin (2 θ) = \frac{1}{2}$
6698	Convert to Interval Notation	(x-4)(x+6)<0	$(x - 4) (x + 6) < 0$
6699	Convert to Interval Notation	(x-4)(x-6)(x-7)>0	$(x - 4) (x - 6) (x - 7) > 0$
6700	Convert to Interval Notation	(x-4)(x+2)^2<0	$(x - 4) {(x + 2)}^{2} < 0$