Algebra Examples

$- 2 (x + 3) < 4$

Step 1

Solve $x > - 5$ .

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Step 1.1

Divide each term in $- 2 (x + 3) < 4$ by $- 2$ and simplify.

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Step 1.1.1

Divide each term in $- 2 (x + 3) < 4$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 (x + 3)}{- 2} > \frac{4}{- 2}$

Step 1.1.2

Simplify the left side.

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Step 1.1.2.1

Cancel the common factor of $- 2$ .

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Step 1.1.2.1.1

Cancel the common factor.

$\frac{- 2 (x + 3)}{- 2} > \frac{4}{- 2}$

Step 1.1.2.1.2

Divide $x + 3$ by $1$ .

$x + 3 > \frac{4}{- 2}$

Step 1.1.3

Simplify the right side.

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Step 1.1.3.1

Divide $4$ by $- 2$ .

$x + 3 > - 2$

Step 1.2

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

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Step 1.2.1

Subtract $3$ from both sides of the inequality.

$x > - 2 - 3$

Step 1.2.2

Subtract $3$ from $- 2$ .

$x > - 5$

Step 2

Use the inequality $x > - 5$ to build the set notation.

${x | x > - 5}$

Step 3