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Phyllis solved the compound inequality 16 ≤ 2(3x – 1) < 28. She began by first breaking the inequality into two separate inequalities, then she correctly solved each for x.

Which graph represents her solution?

1 Answer

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Answer:

See below

Explanation:

Solve the compound inequality


16\leq2(3x-1) < 28\\\\16\leq2(3x-1)\\8\leq3x-1\\9\leq3x\\3\leq x\\\\2(3x-1) < 28\\3x-1 < 14\\3x < 15\\x < 5

Therefore, the correct solution to the inequality is
3\leq x < 5 using Phyllis' method.

Phyllis solved the compound inequality 16 ≤ 2(3x – 1) < 28. She began by first-example-1
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