To solve the inequality -18 < -7v + 10, follow these steps:
Step 1: Move the constant term to the right side of the inequality:
-18 < -7v + 10 becomes -18 - 10 < -7v.
Simplifying this expression, we have:
-28 < -7v.
Step 2: Divide both sides of the inequality by -7. Note that when dividing by a negative number, the inequality sign must be flipped.
(-28)/(-7) > (-7v)/(-7).
Simplifying further, we get:
4 > v.
Step 3: Rearrange the inequality with v on the left side:
v < 4.
The solution to the inequality is v < 4, meaning that v can take any value less than 4 to satisfy the original inequality.
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