But when you multiply both sides of an inequality by a negative number, you reverse the inequality. So the answer is v>5
Note this example, if answer were v < 5 :
suppose v=1;
then -4 -(5x1)<-29
-4 - 5 < -29
-9 < -29--which is not true.
But suppose v is a number greater than 5, like 6:
-4 - (5x6) < -29
-4 - (30) < -29
-34 < -29.
and just to be sure, let's make sure v cannot equal 5:
-4 - (5-5) < -29
-4 - (0) < -29
-4 < -29--not true, so that's settled.
To recap then, solve -4 - 5v < -29 like this:
-4 - (5v) < -29
-5v < -29 +4
-5v < -25
(-1/5)5v < -25(-1/5)
when multiplying both sides of an inequality by a negative number, you need to flip the inequality
v > 5
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