Solve.
-Three-fourths a number decreased by one is between negative five and fifteen. Find all such numbers.
A) $- 3

Question

Solve.
-Three-fourths a number decreased by one is between negative five and fifteen. Find all such numbers.
A) $- 3 < x < 12$
B) $\frac { 64 } { 3 } < x < - \frac { 16 } { 3 }$
C) $8 < x < \frac { 64 } { 3 }$
D) $- \frac { 16 } { 3 } < x < \frac { 64 } { 3 }$

Quizplus · Accepted Answer

The inequality representing the given statement is $-5 < \frac{3}{4}x - 1 < 15$. Solving for $x$ in this compound inequality, we add 1 to all parts to get $-4 < \frac{3}{4}x < 16$. Multiplying all parts by $\frac{4}{3}$ to solve for $x$, we get $-\frac{16}{3} < x < \frac{64}{3}$, which matches choice D.

Solve -Three-Fourths a Number Decreased by One Is Between Negative −3<x<12- 3 < x < 12−3<x<12

Solve
-Three-Fourths a Number Decreased by One Is Between Negative $- 3 < x < 12$