Question

equations & inequalities quiz review 21. solve the following inequality: 7x - 28 ≥ 35 enter your next step here

Explanation:

Step1: Add 28 to both sides

To isolate the term with \( x \), we add 28 to both sides of the inequality \( 7x - 28 \geq 35 \). This gives us \( 7x - 28 + 28 \geq 35 + 28 \), which simplifies to \( 7x \geq 63 \).

Step2: Divide both sides by 7

To solve for \( x \), we divide both sides of the inequality \( 7x \geq 63 \) by 7. So, \( \frac{7x}{7} \geq \frac{63}{7} \), which simplifies to \( x \geq 9 \).

Answer:

\( x \geq 9 \)