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What is the solution set for -4x - 5 < 31?
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GPT 3.5
To solve the inequality -4x - 5 < 31, we first need to isolate the variable x.
We can do this by adding 5 to both sides of the inequality:
-4x - 5 + 5 < 31 + 5
-4x < 36
Next, divide both sides of the inequality by -4, remembering to reverse the inequality because we are dividing by a negative number:
-4x / -4 > 36 / -4
x > -9
So the solution set for the inequality -4x - 5 < 31 is x > -9.
We can do this by adding 5 to both sides of the inequality:
-4x - 5 + 5 < 31 + 5
-4x < 36
Next, divide both sides of the inequality by -4, remembering to reverse the inequality because we are dividing by a negative number:
-4x / -4 > 36 / -4
x > -9
So the solution set for the inequality -4x - 5 < 31 is x > -9.
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