Questions: Solve and write interval notation for the solution set. Then graph the solution set. 2-4x ≥ 16 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Type your answer in interval notation.) B. There is no solution.

Solve and write interval notation for the solution set. Then graph the solution set.
2-4x ≥ 16

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is
(Type your answer in interval notation.)
B. There is no solution.

Transcript text: Solve and write interval notation for the solution set. Then graph the solution set. \[ |2-4 x| \geq 16 \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ (Type your answer in interval notation.) B. There is no solution.

Solution

Step 1: Solve the Inequality

To solve the inequality $ |2 - 4x| \geq 16 $, we consider two cases:

$ 2 - 4x \geq 16 $
$ 2 - 4x \leq -16 $

{"axisType": 3, "coordSystem": {"xmin": -10, "xmax": 10, "ymin": -2, "ymax": 2}, "commands": ["y = 0"], "latex_expressions": ["$x \\leq -3.5$", "$x \\geq 4.5$"]}

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