Question

solve and graph the compound inequality.
w + 3 ≤ 0 or w + 7 ≥ 9
add points connect points / add arrow
-5 -4 -3 -2 -1 0 1 2 3 4 5 clear all

Explanation:

Step1: Solve \( w + 3 \leq 0 \)

Subtract 3 from both sides: \( w + 3 - 3 \leq 0 - 3 \)
Simplify: \( w \leq -3 \)

Step2: Solve \( w + 7 \geq 9 \)

Subtract 7 from both sides: \( w + 7 - 7 \geq 9 - 7 \)
Simplify: \( w \geq 2 \)

Answer:

The solution to the compound inequality \( w + 3 \leq 0 \) or \( w + 7 \geq 9 \) is \( w \leq -3 \) or \( w \geq 2 \). For graphing:

• For \( w \leq -3 \), plot a closed dot at \( -3 \) and draw an arrow to the left.
• For \( w \geq 2 \), plot a closed dot at \( 2 \) and draw an arrow to the right.