Question

solve the inequality and graph the solution on the line provided.
2x - 7 > -15
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
number line with -12, -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, 12 and arrow left and right
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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: We draw an open circle at \(-4\) (since the inequality is \(>\) and not \(\geq\)) and shade the region to the right of \(-4\) to represent all values of \(x\) greater than \(-4\).