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Popular >

(x+6)/2 >4-x-(2x-3)/4

Solution

\frac{x + 6}{2} > 4 - x - \frac{2 x - 3}{4}

Solution

x > \frac{7}{8}

+2

Interval Notation

(\frac{7}{8}, \infty)

Decimal Notation

x > 0.875

Solution steps

\frac{x + 6}{2} > 4 - x - \frac{2 x - 3}{4}

Multiply by LCM

2 (x + 6) > 16 - 4 x - (2 x - 3)

Expand

2 (x + 6) : 2 x + 12

Expand

16 - 4 x - (2 x - 3) : - 6 x + 19

2 x + 12 > - 6 x + 19

Move

12

to the right side

2 x > - 6 x + 7

Move

6 x

to the left side

8 x > 7

Divide both sides by

8

x > \frac{7}{8}

Popular Examples

\frac{1}{2} (2) + 3

factor 6x^2+6x-120 factor

6 x^{2} + 6 x - 120

∣ x + 2 ∣ \geq - 9

simplify (-9-i)+(11+6i)simplify

(- 9 - i) + (11 + 6 i)

simplify sqrt(29)simplify

29

Frequently Asked Questions (FAQ)

What is (x+6)/2 >4-x-(2x-3)/4 ?
The solution to (x+6)/2 >4-x-(2x-3)/4 is x> 7/8