Eduardo solved the following inequality, and his work is shown below: −5(x + 4) ≥ 4x − 38 −5x − 20 ≥ 4x − 38 −9x − 20 ≥ −38 −9x ≥ −18 x ≥ 2 What mistake did Eduardo make in solving the inequality? A. When dividing by −9, he did not change the direction of the sign. B. He subtracted 4x from both sides when he should have added. C. He added 20 to both sides when he should have subtracted. D. He did not make a mistake.

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the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).