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Popular >

3/2-2x<= 4x-(5x+6)

Solution

\frac{3}{2} - 2 x \leq 4 x - (5 x + 6)

Solution

x \geq \frac{15}{2}

+2

Interval Notation

[\frac{15}{2}, \infty)

Decimal Notation

x \geq 7.5

Solution steps

\frac{3}{2} - 2 x \leq 4 x - (5 x + 6)

Expand

4 x - (5 x + 6) : - x - 6

\frac{3}{2} - 2 x \leq - x - 6

Move

\frac{3}{2}

to the right side

- 2 x \leq - x - \frac{15}{2}

Move

x

to the left side

- x \leq - \frac{15}{2}

Multiply both sides by

- 1

x \geq \frac{15}{2}

Popular Examples

\frac{s}{3} < 5

4 x = 3 x^{2}

(x - 1) (x - 1) = 4

2 x^{2} + 4 x = 5

- \frac{n}{2} + 8 > - 4

Frequently Asked Questions (FAQ)

What is 3/2-2x<= 4x-(5x+6) ?
The solution to 3/2-2x<= 4x-(5x+6) is x>= 15/2