The range of values for x is represented on the number line below. Given that x is an integer, find the smallest value of x^2. Answer ___

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Worked solution

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1. Identify the integers in the given range and find the minimum square.

From the number line, −5<x⩽2-5 < x \leqslant 2.

Since xx is an integer,
x=−4,−3,−2,−1,0,1,2.x=-4,-3,-2,-1,0,1,2.

The smallest possible value of x2x^2 occurs when x=0x=0:
02=0.0^2=0.

Answer

00

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