Question

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

(2x - 7 > -15)

answer attempt 1 out of 2

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

inequality notation: (square)

number line:

number line with -12, -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, 12 and click and drag to plot line text

submit answer

Explanation:

Step1: Add 7 to both sides

To isolate the term with \( x \), we add 7 to both sides of the inequality \( 2x - 7 > -15 \). This gives us \( 2x - 7 + 7 > -15 + 7 \), which simplifies to \( 2x > -8 \).

Step2: Divide by 2

Next, we divide both sides of the inequality \( 2x > -8 \) by 2 to solve for \( x \). So, \( \frac{2x}{2} > \frac{-8}{2} \), which simplifies to \( x > -4 \).

Answer:

Inequality Notation: \( x > -4 \)
For the number line: Draw an open circle at -4 (since the inequality is strict, \( x
eq -4 \)) and shade the region to the right of -4 to represent all values of \( x \) greater than -4.