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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.

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hnori22003

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[tex] \frac{1}{2} \times 14 \times (3x - 4) > 56 \\ [/tex]

[tex]7 \times (3x - 4) > 56[/tex]

Expand

[tex]21x - 28 > 56[/tex]

Add sides 28

[tex]21x - 28 + 28 > 56 + 28[/tex]

Simplification

[tex]21x > 84[/tex]

Divide sides by 21

[tex] \frac{21}{21} x > \frac{84}{21} \\ [/tex]

[tex]x > 4[/tex]

Done...

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