Algebra Examples

$- 7 x \geq 56$

Divide each term in $- 7 x \geq 56$ by $- 7$ and simplify.

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Divide each term in $- 7 x \geq 56$ by $- 7$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 7 x}{- 7} \leq \frac{56}{- 7}$

Simplify the left side.

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Cancel the common factor of $- 7$ .

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Cancel the common factor.

$\frac{- 7 x}{- 7} \leq \frac{56}{- 7}$

Divide $x$ by $1$ .

$x \leq \frac{56}{- 7}$

Simplify the right side.

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Divide $56$ by $- 7$ .

$x \leq - 8$

Use the inequality $x \leq - 8$ to build the set notation.

${x | x \leq - 8}$