Solve the inequality: − 4 9 t ≤ 5 - \frac { 4 } { 9 } t \leq 5 − 9 4 t ≤ 5 A) t ≤ 45 4 t \leq \frac { 45 } { 4 } t ≤ 4 45 B) t ≥ − 45 4 t \geq - \frac { 45 } { 4 } t ≥ − 4 45 C) t ≤ − 45 4 t \leq - \frac { 45 } { 4 } t ≤ − 4 45 D) t ≥ − 20 9 t \geq - \frac { 20 } { 9 } t ≥ − 9 20 E) t ≤ − 20 9 t \leq - \frac { 20 } { 9 } t ≤ − 9 20

Question

Solve the inequality:   − 4 9 t ≤ 5 - \frac { 4 } { 9 } t \leq 5 − 9 4 ​ t ≤ 5 A)    t ≤ 45 4 t \leq \frac { 45 } { 4 } t ≤ 4 45 ​ B)    t ≥ − 45 4 t \geq - \frac { 45 } { 4 } t ≥ − 4 45 ​ C)    t ≤ − 45 4 t \leq - \frac { 45 } { 4 } t ≤ − 4 45 ​ D)    t ≥ − 20 9 t \geq - \frac { 20 } { 9 } t ≥ − 9 20 ​ E)    t ≤ − 20 9 t \leq - \frac { 20 } { 9 } t ≤ − 9 20 ​

Mohit sarraf · Accepted Answer

Final Answer : B, Explanation :   To solve the inequality   − 4 9 t ≤ 5 - \frac { 4 } { 9 } t \leq 5 − 9 4 ​ t ≤ 5  , multiply both sides by   − 9 4 -\frac{9}{4} − 4 9 ​   (remember to flip the inequality sign when multiplying or dividing by a negative number):   t ≥ − 45 4 t \geq - \frac { 45 } { 4 } t ≥ − 4 45 ​  .

Solve the inequality: $\frac { 4 } { 9 } t \leq 5$

A) $\leq \frac { 45 } { 4 }$
B) $\geq - \frac { 45 } { 4 }$
C) $\leq - \frac { 45 } { 4 }$
D) $\geq - \frac { 20 } { 9 }$
E) $\leq - \frac { 20 } { 9 }$

Definitions

Learning Objectives

Learning Objectives

Related questions