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AssignmentMultiple Select

Solving Compound Inequalities

Question 2 • 4413VA ALGEBRA 3 SEM A

Which compound equalities have x = 2 as a solution? Check all that apply.4 < 5x – 1 < 10 4 < 5x – 3 < 10 4 < 5x – 7 < 10 4 < 2x + 1 < 10 4 < 2x + 3 < 10 4 < 2x + 6 < 10

Answer
A
4 < 5x – 1 < 10
B
4 < 5x – 3 < 10
C
4 < 5x – 7 < 10
D
4 < 2x + 1 < 10
E
4 < 2x + 3 < 10
F
4 < 2x + 6 < 10

Explanation

Substitute x = 2 into each compound inequality and check whether the result is strictly between 4 and 10. The expressions in A, B, D, and E become 9, 7, 5, and 7, respectively, so each satisfies the inequality. C becomes 3, which is too small, and F becomes 10, which does not satisfy the strict upper bound.

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