What is the solution to (x – 3)3(x + 1)(x – 2) ≤ 0?

a (–ꝏ, –1) U (2, 3)
b (–ꝏ, –1] U [2, 3]
c (–1, 2) U (3, ꝏ)
d [–1, 2] U [3, ꝏ)

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

If the inequality is plotted on the graph, as shown below. Then the solution to the inequality will exist for the value of x (-∞,-1]∪[2,3].

Hence, the correct option is B.

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What is the solution to (x – 3)3(x + 1)(x – 2) ≤ 0? a (–ꝏ, –1) U (2, 3) b (–ꝏ, –1] U [2, 3] c (–1, 2) U (3, ꝏ) d [–1, 2] U [3, ꝏ)

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What are inequalities?

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What is the solution to (x – 3)3(x + 1)(x – 2) ≤ 0?

a (–ꝏ, –1) U (2, 3)
b (–ꝏ, –1] U [2, 3]
c (–1, 2) U (3, ꝏ)
d [–1, 2] U [3, ꝏ)