Question

solve for x and graph the solution on the number line below.
x - 7 < -17 or x - 7 > -1
answer attempt 1 out of 3
inequality notation:
number line:
number line with -12, -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, 12

Explanation:

Step1: Solve \( x - 7 < -17 \)

Add 7 to both sides of the inequality:
\( x - 7 + 7 < -17 + 7 \)
\( x < -10 \)

Step2: Solve \( x - 7 > -1 \)

Add 7 to both sides of the inequality:
\( x - 7 + 7 > -1 + 7 \)
\( x > 6 \)

Answer:

Inequality Notation: \( x < -10 \) or \( x > 6 \)

For the number line:

• Draw an open circle at \( -10 \) and shade to the left (for \( x < -10 \)).
• Draw an open circle at \( 6 \) and shade to the right (for \( x > 6 \)).