Question

solve the inequality and graph the solution on the line provided.

(7 + 8x > -9)

answer attempt 1 out of 2

(<) (>) (leq) (geq) or

inequality notation: (square)

number line:
(square)

Explanation:

Step1: Subtract 7 from both sides

To isolate the term with \( x \), we subtract 7 from both sides of the inequality \( 7 + 8x > -9 \).
\( 7 + 8x - 7 > -9 - 7 \)
Simplifying both sides, we get \( 8x > -16 \).

Step2: Divide both sides by 8

To solve for \( x \), we divide both sides of the inequality \( 8x > -16 \) by 8.
\( \frac{8x}{8} > \frac{-16}{8} \)
Simplifying, we find \( x > -2 \).

Answer:

Inequality Notation: \( x > -2 \)

For the number line: Draw an open circle at -2 (since the inequality is "greater than" and not "greater than or equal to") and shade the region to the right of -2 to represent all values of \( x \) that satisfy the inequality.