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Popular >

-1/5 (2x-25)+1/3 (4x+9)>1

Solution

- \frac{1}{5} (2 x - 25) + \frac{1}{3} (4 x + 9) > 1

Solution

x > - \frac{15}{2}

+2

Interval Notation

(- \frac{15}{2}, \infty)

Decimal Notation

x > - 7.5

Solution steps

- \frac{1}{5} (2 x - 25) + \frac{1}{3} (4 x + 9) > 1

Multiply by LCM

- 3 (2 x - 25) + 5 (4 x + 9) > 15

Expand

- 3 (2 x - 25) + 5 (4 x + 9) : 14 x + 120

14 x + 120 > 15

Move

120

to the right side

14 x > - 105

Divide both sides by

14

x > - \frac{15}{2}

Popular Examples

y^{2} - 8 y + 7 = 0

∣ x + 9 ∣ \geq - 6

4 x^{2} + 6 x - 3 = 0

- 11 (x + 7) < - 88

x^{2} + 9 x = - 26

Frequently Asked Questions (FAQ)

What is -1/5 (2x-25)+1/3 (4x+9)>1 ?
The solution to -1/5 (2x-25)+1/3 (4x+9)>1 is x>-15/2