Question

solve the inequality and graph the solution.
$11 \geq \frac{t}{4} + 9$
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.
-10 -8 -6 -4 -2 0 2 4 6 8 10
submit

Explanation:

Step1: Subtract 9 from both sides

$11 - 9 \geq \frac{t}{4} + 9 - 9$
$2 \geq \frac{t}{4}$

Step2: Multiply by 4 on both sides

$2 \times 4 \geq \frac{t}{4} \times 4$
$8 \geq t$ or $t \leq 8$

Step3: Graph the solution

On the number line, plot a closed circle at 8 (since the inequality includes equality, $t \leq 8$), then draw a ray extending to the left from 8 to represent all values less than or equal to 8.

Answer:

$t \leq 8$