9514 1404 393
Answer:
D. no solutions
Step-by-step explanation:
Solving the first inequality, we get ...
5x -4 ≥ 12
5x ≥ 16 . . . . . add 4
x ≥ 16/5 . . . . divide by 5
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Solving the second inequality, we get ...
12x +5 ≤ -4
12x ≤ -9 . . . . . subtract 5
x ≤ -9/12 = -3/4
We simultaneously require that x is greater than some positive number while it is also less than some negative number. There are no values of x that can satisfy these inequalities. (Choice D)
