3
AssignmentMultiple Choice

Solving Compound Inequalities

Question 3 • 4413VA ALGEBRA 3 SEM A

Which compound inequality has no solution?

Answer
A
–2 < x and 2x + 6 < 14
B
4 < x and 6x – 11 < 14
C
10 < x and 2x – 3 < 14
D
14 < x and 0.5x + 6 < 14

Explanation

For choice C, 10 < x requires x to be greater than 10. The inequality 2x – 3 < 14 gives 2x < 17, so x < 8.5. A number cannot be both greater than 10 and less than 8.5, so the compound inequality has no solution.

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