Which of the following is a solution to the inequality below?
-23 < a/2
a = -144
a = -136
a = -20
a = -104
Which of the following is a solution to the inequality below? -23 < a/2 a = -144 a = -136 a = -20 a = -104
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Which of the following is a solution to the inequality below?
-23 < a/2
a = -144
a = -136
a = -20
a = -104
To solve the inequality (-23 < frac{a}{2}), we can first multiply both sides by 2 to eliminate the fraction. This gives us:
(-46 < a)
or
(a > -46).
Now, we can evaluate the options given:
1. (a = -144) (not a solution since (-144 < -46)) 2. (a = -136) (not a solution since (-136 < -46)) 3. (a = -20) (this is a solution since (-20 > -46))
4. (a = -104) (not a solution since (-104 < -46))
The only value that satisfies the inequality is (a = -20).
So, (boxed{-20}) is the solution to the inequality.