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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$\frac{1}{2} \times 14 \times (3x - 4) > 56$

$7 \times (3x - 4) > 56$

Expand

$21x - 28 > 56$

Add sides 28

$21x - 28 + 28 > 56 + 28$

Simplification

$21x > 84$

Divide sides by 21

$\frac{21}{21} x > \frac{84}{21}$

$x > 4$

Done...

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