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Popular >

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

Solution

x - \frac{2 x + 3}{2} \leq \frac{x - 1}{4}

Solution

x \geq - 5

+1

Interval Notation

[- 5, \infty)

Solution steps

x - \frac{2 x + 3}{2} \leq \frac{x - 1}{4}

Multiply by LCM

4 x - 2 (2 x + 3) \leq x - 1

Expand

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

4 x - 4 x - 6 \leq x - 1

Add similar elements:

4 x - 4 x = 0

- 6 \leq x - 1

Move

6

to the right side

0 \leq x + 5

Move

0

to the right side

\leq x + 5

Move

x

to the left side

- x \leq 5

Multiply both sides by

- 1

x \geq - 5

Popular Examples

4 < X

simplify (100pi)/(180)simplify

\frac{100 π}{180}

\frac{3 x + 2}{5} = 4

3 x^{2} + 8 x + 3 = 0

3 x^{2} + 5 x + 9 = 0

Frequently Asked Questions (FAQ)

What is x-(2x+3)/2 <= (x-1)/4 ?
The solution to x-(2x+3)/2 <= (x-1)/4 is x>=-5