Question

most beagles have shoulder heights between 36 and 41 centimeters. the following compound inequality relates the estimated shoulder height (in centimeters) of a dog to the internal dimension of the skull d (in cubic centimeters): 36 ≤ 1.02d – 31.2 ≤ 41 which compound inequality represents the range for the skull size of beagles? answer choices are rounded to the nearest tenth

Answer 1

The range for the skull size of beagles is 65.9 ≤ D ≤ 70.8

Given the inequality regarding the internal dimension of the skull i.e.D

⇒36 ≤ 1.02d – 31.2 ≤ 41

Inequality:

Equations and inequalities are both mathematical sentences that are formed by connecting two expressions. The symbol = indicates that the two expressions in an equation are deemed equal. In contrast, in inequality, the two expressions are not always equal, as indicated by the symbols: >,<,≤, or≥.

⇒36 ≤ 1.02d – 31.2 ≤ 41 { solving given inequality}

⇒ 36 + 31.2 ≤ 1.02d  – 31.2+ 31.2 ≤ 41+ 31.2 { addition of 31.2 on all sides}

⇒67.2  ≤ 1.02d  ≤ 72.2

⇒$\frac{67.2}{1.02}$ ≤ $\frac{1.02d}{1.02}$   ≤ $\frac{72.2}{1.02}$  { dividing with 1.02 on all sides}

⇒ 65.9 ≤ D ≤ 70.8

Therefore, The range for the skull size of beagles is 65.9 ≤ D ≤ 70.8

Learn more about inequality here:

brainly.com/question/20383699

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