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Popular >

-1/3 (p+7)+5/2 (2p-7)<10

Solution

- \frac{1}{3} (p + 7) + \frac{5}{2} (2 p - 7) < 10

Solution

p < \frac{179}{28}

+2

Interval Notation

(- \infty, \frac{179}{28})

Decimal Notation

p < 6.39285 \dots

Solution steps

- \frac{1}{3} (p + 7) + \frac{5}{2} (2 p - 7) < 10

Multiply by LCM

- 2 (p + 7) + 15 (2 p - 7) < 60

Expand

- 2 (p + 7) + 15 (2 p - 7) : 28 p - 119

28 p - 119 < 60

Move

119

to the right side

28 p < 179

Divide both sides by

28

p < \frac{179}{28}

Popular Examples

simplify (-8)/(2(-1))simplify

\frac{- 8}{2 ( - 1 )}

4.58 + y = 2.5

16 = - 6 x - 2 x

simplify 2/3 (9)^{2/3}-1/5 (9)^2 simplify

\frac{2}{3} (9)^{\frac{2}{3}} - \frac{1}{5} (9)^{2}

9 - (5 - 8 x) = 4 x + 2

Frequently Asked Questions (FAQ)

What is -1/3 (p+7)+5/2 (2p-7)<10 ?
The solution to -1/3 (p+7)+5/2 (2p-7)<10 is p< 179/28