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Vlad1618 [11]
2 years ago
9

Values for the area A of the rectangle shown are 12 ≤ A ≤ 36.

Mathematics
1 answer:
Step2247 [10]2 years ago
4 0

A compound inequality is used to combined multiple inequalities.

  • <em>The compound inequality is: </em>12 \le 6x \le 36<em>.</em>
  • <em>The solution to the compound inequality is: </em>2 \le x \le 6<em />

We have:

12 \le A \le 36

Length = 2x

Width = 3

The area of the rectangle is:

A = Length \times Width

So, we have:

A =2x \times 3

A = 6x

Substitute 6x for A in 12 \le A \le 36

12 \le 6x \le 36

Divide through by 6

2 \le x \le 6

Hence,

  • The compound inequality is: 12 \le 6x \le 36.
  • The solution to the compound inequality is: 2 \le x \le 6

Read more about compound inequalities at:

brainly.com/question/17957246

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(a)

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