1 Answer: v = -130
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Explanation:
Because we're given multiple choices to pick from, we can go through each to do trial and error.
For instance, if v = 52, then
v/13 < -7
52/13 < -7
4 < -7
but that's a false statement since 4 is not smaller than -7. Use a number line to see this. You should have -7 to the left of 4, showing that -7 is the smaller value.
Because 4 < -7 is false, this means v/13 < -7 is false when v = 52. This rules out v = 52. You should find that v = 26 and v = -39 won't work for similar reasons.
Only v = -130 works since...
v/13 < -7
-130/13 < -7
-10 < -7
This is true because -10 is to the left of -7 on the number line.
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Another approach:
We have some unknown number v, and we're dividing by 13 to get the expression v/13. To undo this, we multiply both sides by 13
v/13 < -7
13*(v/13) < 13*(-7) .... multiply both sides by 13
v < -91
So any solution to the original inequality must be smaller than -91. This allows us to rule out v = 52, v = 26 and v = -39.
The value v = -130 is smaller than -91, so it satisfies v < -91. Therefore, v = -130 is a solution to the original inequality.
