Question

solve the inequality? you solved the associated equation for -4f = -24 and found that the boundary point for this inequality is f = 6. were you trying to figure out if the boundary point of f = 6 is included in solutions to the inequality? is 6 also a solution to the inequality? -4f ≤ -24 -4f = -24 f = 6

Explanation:

Step1: Analyze inequality symbol

The inequality is $-4t \leq -24$. The symbol $\leq$ means "less than or equal to", which includes the boundary point (the solution to the associated equation $-4t=-24$).

Step2: Verify boundary point validity

Substitute $t=6$ into the inequality:
$$-4(6) \leq -24$$
$$-24 \leq -24$$
This statement is true, as $-24$ is equal to $-24$.

Answer:

Yes, $t=6$ is a solution to the inequality $-4t \leq -24$, because the inequality uses the "less than or equal to" symbol ($\leq$), which includes the boundary point, and substituting $t=6$ into the inequality results in a true statement ($-24 \leq -24$).