Asked by Virgil Hobbs on Jul 08, 2024
Verified
Solve the inequality: −49t≤5- \frac { 4 } { 9 } t \leq 5−94t≤5
A) t≤454t \leq \frac { 45 } { 4 }t≤445
B) t≥−454t \geq - \frac { 45 } { 4 }t≥−445
C) t≤−454t \leq - \frac { 45 } { 4 }t≤−445
D) t≥−209t \geq - \frac { 20 } { 9 }t≥−920
E) t≤−209t \leq - \frac { 20 } { 9 }t≤−920
Inequality
A mathematical statement that indicates the relationship of less than, greater than, less than or equal to, or greater than or equal to between two values.
Solve
To find the solution or answer to a problem or equation.
- Acquire the ability to employ basic algebraic processes for resolving inequalities.
Verified Answer
MS
Mohit sarrafJul 10, 2024
Final Answer :
B
Explanation :
To solve the inequality −49t≤5- \frac { 4 } { 9 } t \leq 5−94t≤5 , multiply both sides by −94-\frac{9}{4}−49 (remember to flip the inequality sign when multiplying or dividing by a negative number): t≥−454t \geq - \frac { 45 } { 4 }t≥−445 .
Learning Objectives
- Acquire the ability to employ basic algebraic processes for resolving inequalities.