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QUESTION IMAGE

6) $15 + x \\leq 0$

Question

  1. $15 + x \leq 0$

Explanation:

Step1: Isolate x by subtracting 15

$15 + x - 15 \leq 0 - 15$

Step2: Simplify both sides

$x \leq -15$

Step3: Correct the number line error

The given number line shows an open circle at -15 pointing right, which is incorrect. The correct graph has a closed circle at -15, with an arrow pointing left (all values less than or equal to -15).

Answer:

The solution to the inequality is $x \leq -15$. The correct number line representation has a closed circle at -15 and an arrow extending to the left (toward smaller numbers). The provided number line in the image is incorrect for this inequality.