1 Answer

Grendizer · Answer 1 · 2024-07-20T12:13:37+0000

Answer: 6 ≤ x ≤ 8

Explanation:

We will use the formula for the area of a right triangle to solve this compound inequality to solve for A.

Given:

$\displaystyle A = (bh)/(2)$

Substitute known values:

$\displaystyle A = (3x)/(2)$

Now, we know that the area must be greater than or equal to 9 and less than or equal to 12. We will solve for x by substituting our expression for the area into the given compound inequality.

9 ≤ A ≤ 12

9 ≤
(3x)/(2) ≤ 12

18 ≤ 3x ≤ 24

6 ≤ x ≤ 8

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