SAT Linear inequalities in one or two variables Practice Question 3 (Easy)

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Question bank / Linear inequalities in one or two variables

Math · AlgebraEasy

What is the greatest integer value of $x$ that satisfies the inequality $5x - 2 < 28$ ?

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Answer: 5

Add 2 to both sides: $5x < 30$ . Divide by 5: $x < 6$ . The greatest integer less than 6 is 5.

Answering 6 ignores that the inequality is strict, so $x = 6$ makes $5x - 2 = 28$ , which is not less than 28.

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