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:

(overleftarrow{quad -12quad -10quad -8quad -6quad -4quad -2quad 0quad 2quad 4quad 6quad 8quad 10quad 12quad overrightarrow{quad}})
touch and drag to plot line

submit answer

Explanation:

Step1: Subtract 7 from both sides

To isolate the term with \( x \), we subtract 7 from both sides of the inequality \( 7 + 8x > -9 \). This gives us \( 8x > -9 - 7 \). Calculating the right side, we have \( -9 - 7 = -16 \), so the inequality becomes \( 8x > -16 \).

Step2: Divide both sides by 8

To solve for \( x \), we divide both sides of the inequality \( 8x > -16 \) by 8. Since 8 is positive, the direction of the inequality sign remains the same. So we get \( x > \frac{-16}{8} \), which simplifies to \( x > -2 \).

Answer:

Inequality Notation: \( x > -2 \)

For the number line: Place an open circle at -2 (since the inequality is \( > \), not \( \geq \)) and draw a line to the right of -2 to represent all values of \( x \) greater than -2.