Pre-Algebra Examples

$4 x + 3 > 2 (x + 1)$

Step 1

Simplify $2 (x + 1)$ .

Tap for more steps...

Step 1.1

Rewrite.

$4 x + 3 > 0 + 0 + 2 (x + 1)$

Step 1.2

Simplify by adding zeros.

$4 x + 3 > 2 (x + 1)$

Step 1.3

Apply the distributive property.

$4 x + 3 > 2 x + 2 \cdot 1$

Step 1.4

Multiply $2$ by $1$ .

$4 x + 3 > 2 x + 2$

Step 2

Move all terms containing $x$ to the left side of the inequality.

Tap for more steps...

Step 2.1

Subtract $2 x$ from both sides of the inequality.

$4 x + 3 - 2 x > 2$

Step 2.2

Subtract $2 x$ from $4 x$ .

$2 x + 3 > 2$

Step 3

Move all terms not containing $x$ to the right side of the inequality.

Tap for more steps...

Step 3.1

Subtract $3$ from both sides of the inequality.

$2 x > 2 - 3$

Step 3.2

Subtract $3$ from $2$ .

$2 x > - 1$

Step 4

Divide each term in $2 x > - 1$ by $2$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $2 x > - 1$ by $2$ .

$\frac{2 x}{2} > \frac{- 1}{2}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{2 x}{2} > \frac{- 1}{2}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x > \frac{- 1}{2}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Move the negative in front of the fraction.

$x > - \frac{1}{2}$

Step 5