Question

find the solution set of the inequality 5x + 13 ≥ -37. x dropdown blank

Explanation:

Step1: Subtract 13 from both sides

To isolate the term with \( x \), we subtract 13 from both sides of the inequality \( 5x + 13 \geq -37 \). This gives us \( 5x + 13 - 13 \geq -37 - 13 \), which simplifies to \( 5x \geq -50 \).

Step2: Divide both sides by 5

To solve for \( x \), we divide both sides of the inequality \( 5x \geq -50 \) by 5. Since 5 is a positive number, the direction of the inequality sign remains the same. So we have \( \frac{5x}{5} \geq \frac{-50}{5} \), which simplifies to \( x \geq -10 \).

Answer:

\( x \geq -10 \)