Solve the inequality. $3 t + 5 \geq 7 t - 7$
A) $( 3 , \infty )$
B) $( - \infty , 3 ]$
C) $[ 3 , \infty )$
D) $( - \infty , 3 )$

Question

Quizplus · Accepted Answer

To solve the inequality $3t + 5 \geq 7t - 7$, subtract $3t$ from both sides to get $5 \geq 4t - 7$. Then add $7$ to both sides to get $12 \geq 4t$. Divide both sides by $4$ to get $3 \geq t$ or $t \leq 3$, which corresponds to all values of $t$ that are less than or equal to $3$, represented by $( - \infty , 3 ]$.

Solve the Inequality 3t+5≥7t−73 t + 5 \geq 7 t - 73t+5≥7t−7

Solve the Inequality $3 t + 5 \geq 7 t - 7$