Question

14. A triangle has a base of 14 centimeters and a height of

(3x – 4) centimeters. The area of the triangle is greater than 56
centimeters. Solve the inequality 1/2(14)(3x – 4) > 56
to find the
possible
valucs ofx.

Answer 1

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`(1)/(2) * 14 * (3x - 4) > 56 \\`

`7 * (3x - 4) > 56`

Expand

`21x - 28 > 56`

Add sides 28

`21x - 28 + 28 > 56 + 28`

Simplification

`21x > 84`

Divide sides by 21

`(21)/(21) x > (84)/(21) \\`

`x > 4`

Done...

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