Question

solve for (t):

-3t + 11 < 5

a. (t < 2)
b. (t > 2)
c. (t > \frac{16}{3})
d. (t < \frac{16}{3})

Explanation:

⚡ Using what you learned: understanding inequalities

Step 1: Isolate the variable term

Subtract \( 11 \) from both sides of the inequality:

$$ -3t + 11 < 5 $$

$$ -3t < 5 - 11 $$

$$ -3t < -6 $$

Step 2: Divide and flip the inequality sign

Divide both sides by \( -3 \). Remember to flip the inequality sign when dividing by a negative number:

$$ t > \frac{-6}{-3} $$

$$ t > 2 $$

Answer:

B \( t > 2 \)