Question

solve the inequality and graph the solution on the line provided.
$-5x + 8 > 3$

answer attempt 1 out of 2

inequality notation:

Explanation:

Step1: Subtract 8 from both sides

To isolate the term with \( x \), we subtract 8 from both sides of the inequality \( -5x + 8 > 3 \). This gives us \( -5x + 8 - 8 > 3 - 8 \), which simplifies to \( -5x > -5 \).

Step2: Divide by -5 (and reverse inequality)

When dividing an inequality by a negative number, we must reverse the inequality sign. Dividing both sides of \( -5x > -5 \) by -5 gives \( \frac{-5x}{-5} < \frac{-5}{-5} \), which simplifies to \( x < 1 \).

Answer:

\( x < 1 \)