Question

score on last try: 0 of 1 pts. see details for more. at least one scored part is incorrect. jump to first changable incorrect part. > next question get a similar question you can retry this question below solve the inequality. graph the solution on the number line and give the answer as an ine -8x - 5 > -13 number line image with -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, open circle at -1, blue line to right clear all draw: arrow, dot, open circle icons x the inequality is x > -1 × question help: video message instructor submit question

Explanation:

Step1: Add 5 to both sides

To isolate the term with \( x \), we add 5 to both sides of the inequality \(-8x - 5 > -13\). This gives us \(-8x - 5 + 5 > -13 + 5\), which simplifies to \(-8x > -8\).

Step2: Divide by -8 (reverse inequality)

When dividing both sides of an inequality by a negative number, we must reverse the inequality sign. So, dividing both sides of \(-8x > -8\) by \(-8\) gives \( x < 1 \).

Answer:

\( x < 1 \)