Algebra Examples

$\frac{a}{- 3.5} \leq - 1.7$

Step 1

Multiply both sides by $- 3.5$ .

$\frac{a}{- 3.5} \cdot - 3.5 \geq - 1.7 \cdot - 3.5$

Step 2

Simplify.

Tap for more steps...

Step 2.1

Simplify the left side.

Tap for more steps...

Step 2.1.1

Simplify $\frac{a}{- 3.5} \cdot - 3.5$ .

Tap for more steps...

Step 2.1.1.1

Cancel the common factor of $3.5$ .

Tap for more steps...

Step 2.1.1.1.1

Factor $3.5$ out of $- 3.5$ .

$\frac{a}{3.5 (- 1)} \cdot - 3.5 \geq - 1.7 \cdot - 3.5$

Step 2.1.1.1.2

Factor $3.5$ out of $- 3.5$ .

$\frac{a}{3.5 \cdot - 1} \cdot (3.5 \cdot - 1) \geq - 1.7 \cdot - 3.5$

Step 2.1.1.1.3

Cancel the common factor.

$\frac{a}{3.5 \cdot - 1} \cdot (3.5 \cdot - 1) \geq - 1.7 \cdot - 3.5$

Step 2.1.1.1.4

Rewrite the expression.

$\frac{a}{- 1} \cdot - 1 \geq - 1.7 \cdot - 3.5$

Step 2.1.1.2

Combine $\frac{a}{- 1}$ and $- 1$ .

$\frac{a \cdot - 1}{- 1} \geq - 1.7 \cdot - 3.5$

Step 2.1.1.3

Simplify the expression.

Tap for more steps...

Step 2.1.1.3.1

Move the negative one from the denominator of $\frac{a \cdot - 1}{- 1}$ .

$- 1 \cdot (a \cdot - 1) \geq - 1.7 \cdot - 3.5$

Step 2.1.1.3.2

Rewrite $- 1 \cdot (a \cdot - 1)$ as $- (a \cdot - 1)$ .

$- (a \cdot - 1) \geq - 1.7 \cdot - 3.5$

Step 2.1.1.3.3

Move $- 1$ to the left of $a$ .

$- (- 1 \cdot a) \geq - 1.7 \cdot - 3.5$

Step 2.1.1.3.4

Rewrite $- 1 a$ as $- a$ .

$- - a \geq - 1.7 \cdot - 3.5$

Step 2.1.1.4

Multiply $- - a$ .

Tap for more steps...

Step 2.1.1.4.1

Multiply $- 1$ by $- 1$ .

$1 a \geq - 1.7 \cdot - 3.5$

Step 2.1.1.4.2

Multiply $a$ by $1$ .

$a \geq - 1.7 \cdot - 3.5$

Step 2.2

Simplify the right side.

Tap for more steps...

Step 2.2.1

Multiply $- 1.7$ by $- 3.5$ .

$a \geq 5.95$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$a \geq 5.95$

Interval Notation:

$[5.95, \infty)$