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Question

Which of the following inequality implies that x is less than or equal to 2?

A
x2
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B
x2
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C
x2
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D
x2
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Solution

The correct option is D x2
(A) x2
Multiply both the sides by 1 to make the coefficient of x as 1.
Also, multiplying both sides of the inequality by a negative number changes the direction of the inequality.
x×12×1
x2
x is less than or equal to 2

(B) x2
Multiply both the sides by 1 and reverse the inequality.
x×12×1
x2
x is greater than or equal to 2

(C) x2
Multiply both the sides by 1 and reverse the inequality.
x×12×1
x2
x is greater than or equal to 2

(D) x2
Multiply both the sides by 1 and reverse the inequality.
x×12×1
x2
x is less than or equal to 2

Hence, x2 implies that x is less than or equal to 2.

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