1) Solve the inequality: \(2 - 2(-1 - 8x) \leq -44\). Show your work.

2) Solve the inequality: \(6(2 - 4a) > -60\).

2 + 2 + 16x <= - 44
4 + 16x <= - 44
16x <= - 48
x <= - 3
x∈( -oo , - 3 ]
2)
12 - 24a > - 60
72 > 24a
3 > a
a < 3
a∈( -oo, + 3 ).

Answered by crisforp | 2024-06-10

The solution to the first inequality is x ≤ − 3 and for the second inequality, it is a < 3 . Both inequalities were solved by isolating the variable on one side. The final results show the ranges of values that satisfy each inequality.
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Answered by crisforp | 2024-12-26