Question

solution on the line provided.

$-2x + 40 < 38$

answer
attempt 1 out of 2

inequality notation:

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-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
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Explanation:

Step1: Subtract 40 from both sides

Subtract 40 from each side of the inequality \(-2x + 40 < 38\) to isolate the term with \(x\).
\(-2x + 40 - 40 < 38 - 40\)
Simplifying gives: \(-2x < -2\).

Step2: Divide by -2 (reverse inequality)

Divide both sides by \(-2\). When dividing an inequality by a negative number, reverse the inequality sign.
\(\frac{-2x}{-2} > \frac{-2}{-2}\)
Simplifying gives: \(x > 1\).

Answer:

Inequality Notation: \(x > 1\)