Question

solve the inequality. graph the solution.
-2d ≥ 26
the solution is

Explanation:

Step1: Divide both sides by -2

When dividing an inequality by a negative number, the inequality sign flips.

$$ \frac{-2d}{-2}\leq\frac{26}{-2} $$

Step2: Simplify

Simplify the left - hand side to get \(d\) and the right - hand side:

$$ d\leq - 13 $$

Answer:

\(d\leq - 13\)

To graph the solution:

• Place a closed circle at \(-13\) (because the inequality is \(\leq\), so \(-13\) is included in the solution set).
• Shade to the left of \(-13\) on the number line (since \(d\) is less than or equal to \(-13\)).