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Popular >

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

Solution

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

Solution

x > \frac{40}{11}

+2

Interval Notation

(\frac{40}{11}, \infty)

Decimal

x > 3.63636 \dots

Solution steps

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

Multiply both sides by

2

6 x + 8 (5 - 2 x) < x

Expand

6 x + 8 (5 - 2 x) : - 10 x + 40

- 10 x + 40 < x

Move

40

to the right side

- 10 x < x - 40

Move

x

to the left side

- 11 x < - 40

Multiply both sides by

- 1

11 x > 40

Divide both sides by

11

x > \frac{40}{11}

Graph

Popular Examples

3/7 (35x-14)<= (21x)/2+3

\frac{3}{7} (35 x - 14) \leq \frac{21 x}{2} + 3

4 x^{2} + 36 = 0

factor-6x^2+23x+4 factor

- 6 x^{2} + 23 x + 4

x^{2} - 1 > x

-x^3+8x^2+4x>32

- x^{3} + 8 x^{2} + 4 x > 32

Frequently Asked Questions (FAQ)

What is 3x+4(5-2x)< x/2 ?
The solution to 3x+4(5-2x)< x/2 is x> 40/11