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Which compound inequality represents the range for the skull size of raccoons? Answer choices are rounded to the nearest hundredth.

16 ≤ 1.02x − 31.5 ≤ 22

Sagot :

The range for the following inequality rounded to nearest hundredth is 46.57≤x≤52.45

In mathematics, an inequality is a relation that holds between two values when they are different. The notation a ≠ b means that a is not equal to b. It does not say that one is greater than the other, or even that they can be compared in size . Inequality are the sign which assign the great and less of amount between to numbers,`<. .>

Let's solve your inequality step-by-step.

16≤1.02x−31.5≤22

Add 31.5 to all parts:

16+31.5≤1.02x−31.5+31.5≤22+31.5

Adding we get:

47.5≤1.02x≤53.5

Divide all parts by 1.02:

47.5/1.02≤1.02x/1.02≤53.5/1.02

Dividing we get:

46.568627≤x≤52.45098

Rounding it to nearest hundredth we get

46.57≤x≤52.45

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