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Popular >

5/2 (x-2)-3/4 (x+4)>=-2

Solution

\frac{5}{2} (x - 2) - \frac{3}{4} (x + 4) \geq - 2

Solution

x \geq \frac{24}{7}

+2

Interval Notation

[\frac{24}{7}, \infty)

Decimal Notation

x \geq 3.42857 \dots

Solution steps

\frac{5}{2} (x - 2) - \frac{3}{4} (x + 4) \geq - 2

Multiply by LCM

10 (x - 2) - 3 (x + 4) \geq - 8

Expand

10 (x - 2) - 3 (x + 4) : 7 x - 32

7 x - 32 \geq - 8

Move

32

to the right side

7 x \geq 24

Divide both sides by

7

x \geq \frac{24}{7}

Popular Examples

- 2 x^{2} - 5 x = 0

3w+3(2w-10)>= 10w-6-1

3 w + 3 (2 w - 10) \geq 10 w - 6 - 1

simplify (5/2)/(3/2)simplify

\frac{\frac{5}{2}}{\frac{3}{2}}

\frac{4}{3} x < - 8

16 + 2.4 = 22.5

Frequently Asked Questions (FAQ)

What is 5/2 (x-2)-3/4 (x+4)>=-2 ?
The solution to 5/2 (x-2)-3/4 (x+4)>=-2 is x>= 24/7