Question

which of the following is a solution to the inequality below?
$3 < -7t$
$t = 3$
$t = 1$
$t = 9$
$t = -6$

Explanation:

Step1: Solve inequality for t

Divide both sides by -7, reverse inequality sign:
$$t < \frac{3}{-7}$$
$$t < -\frac{3}{7}$$

Step2: Test each option

Check if value is less than $-\frac{3}{7}$:

• $t=3$: $3 > -\frac{3}{7}$, not a solution
• $t=1$: $1 > -\frac{3}{7}$, not a solution
• $t=9$: $9 > -\frac{3}{7}$, not a solution
• $t=-6$: $-6 < -\frac{3}{7}$, is a solution

Answer:

t = -6