Question

solve the inequality and graph the solution.
4(t - 2) < 8
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.
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-5
-4
-3
-2
-1
0
1
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4
5
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submit

Explanation:

Step1: Simplify the inequality

$$4(t - 2)<8$$
Divide both sides by 4:
$$\frac{4(t - 2)}{4}<\frac{8}{4}$$
$$t - 2<2$$

Step2: Solve for \(t\)

Add 2 to both sides:
$$t-2 + 2<2+2$$
$$t<4$$

Answer:

The solution of the inequality \(4(t - 2)<8\) is \(t<4\). On the number - line, we have an open circle at \(t = 4\) (since the inequality is strict, \(t
eq4\)) and the line extends to the left towards \(-\infty\).