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Popular >

1/4 x<(-3/2 x+6)+x

Solution

\frac{1}{4} x < (- \frac{3}{2} x + 6) + x

Solution

x < 8

+1

Interval Notation

(- \infty, 8)

Solution steps

\frac{1}{4} x < (- \frac{3}{2} x + 6) + x

Expand

(- \frac{3}{2} x + 6) + x : - \frac{1}{2} x + 6

\frac{1}{4} x < - \frac{1}{2} x + 6

Move

\frac{1}{2} x

to the left side

\frac{3}{4} x < 6

Multiply both sides by

4

3 x < 24

Divide both sides by

3

x < 8

Popular Examples

4 x^{2} - 8 x + 4 = 1

(4 x + 3)^{2} = 36

(y - 3) (y + 2) = 0

factor-4x^2+16x+84 factor

- 4 x^{2} + 16 x + 84

2 (x + 6) = 17

Frequently Asked Questions (FAQ)

What is 1/4 x<(-3/2 x+6)+x ?
The solution to 1/4 x<(-3/2 x+6)+x is x<8