Question

question
solve the inequality and graph the solution on the line provided.
-2 + 7x ≤ -16
answer attempt 1 out of 5
inequality notation:
number line:
touch and drag to plot line
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Explanation:

Step1: Add 2 to both sides

To isolate the term with \(x\), we add 2 to both sides of the inequality \(-2 + 7x \leq -16\). This gives us \(7x \leq -16 + 2\). Calculating the right side, we have \(7x \leq -14\).

Step2: Divide by 7

Now, we divide both sides of the inequality \(7x \leq -14\) by 7. This results in \(x \leq \frac{-14}{7}\), which simplifies to \(x \leq -2\).

Answer:

Inequality Notation: \(x \leq -2\)
For the number line: We place a closed circle at \(-2\) (since the inequality is "less than or equal to") and draw an arrow to the left to represent all numbers less than or equal to \(-2\).