Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
A. x < 5
B. –6x – 5 < 10 – x
C. –6x + 15 < 10 – 5x
D. A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
E. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
Answer (2)
The correct representations of the inequality − 3 ( 2 x − 5 ) < 5 ( 2 − x ) are options B and C since they reflect the transformations of the inequality accurately. Options A, D, and E are incorrect based on the solution that shows 5"> x > 5 . Options B and C are equivalent forms of the inequality.
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Correct answers are C and D
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