QUESTION IMAGE
Question
solve the inequality and graph the solution.
6 < -4t + 14
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.
-5 -4 -3 -2 -1 0 1 2 3 4 5
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Step1: Subtract 14 from both sides
$6 - 14 < -4t + 14 - 14$ → $-8 < -4t$
Step2: Divide by -4 (reverse inequality)
$\frac{-8}{-4} > \frac{-4t}{-4}$ → $2 > t$ → $t < 2$
Step3: Graph the solution
Endpoint at 2 (open circle, since <), arrow left (values less than 2)
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$t < 2$
(Graph: Open circle at 2, arrow pointing left)