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Popular >

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

Solution

\frac{6 - x}{4} \leq \frac{3 x - 4}{2}

Solution

x \geq 2

+1

Interval Notation

[2, \infty)

Solution steps

\frac{6 - x}{4} \leq \frac{3 x - 4}{2}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(6 - x) \cdot 2 \leq 4 (3 x - 4)

Expand

(6 - x) \cdot 2 : 12 - 2 x

Expand

4 (3 x - 4) : 12 x - 16

12 - 2 x \leq 12 x - 16

Move

12

to the right side

- 2 x \leq 12 x - 28

Move

12 x

to the left side

- 14 x \leq - 28

Multiply both sides by

- 1

14 x \geq 28

Divide both sides by

14

x \geq 2

Popular Examples

6 + 7 x = 34

- 2 (7 x - 1) = 8

factor-12a^2+20a factor

- 12 a^{2} + 20 a

((2x-5))/(5x-5)<= 5

\frac{( 2 x - 5 )}{5 x - 5} \leq 5

factor 9+6x+x^2 factor

9 + 6 x + x^{2}

Frequently Asked Questions (FAQ)

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