Solve the problem.
-Suppose that f(x) = -x - 1 and g(x) = x - 14. (a) Solve f(x) > 0.
(b) Solve g(x) > 0.
(c) Solve f(x) ≤ g(x) .

Question

Solve the problem. -Suppose that f(x) = -x - 1 and g(x) = x - 14. (a) Solve f(x) > 0. (b) Solve g(x) > 0. (c) Solve f(x) ≤ g(x). A) (a) x < -1; (b) x < -14; (c) x ≤6.5 B) (a) x > 1; (b) x > 14; (c) x > 6.5 C) (a) x < -1; (b) x > 14; (c) x ≥ 6.5 D) (a) x < -1; (b) x < 14; (c) x ≥ -7.5

Quizplus · Accepted Answer

For (a), solving $f(x) > 0$ means $-x - 1 > 0$, which simplifies to $x < -1$. For (b), solving $g(x) > 0$ means $x - 14 > 0$, which simplifies to $x > 14$. For (c), solving $f(x) ≤ g(x)$ means $-x - 1 ≤ x - 14$, which simplifies to $2x ≥ 13$, or $x ≥ 6.5$.

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