What is (3(x-4)}{12}<= \frac{2x)/3 ?

The solution to (3(x-4)}{12} =-12/5

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(3(x-4)}{12}<= \frac{2x)/3

\frac{3 ( x - 4 )}{12} \leq \frac{2 x}{3}

x \geq - \frac{12}{5}

Solution steps

\frac{3 ( x - 4 )}{12} \leq \frac{2 x}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

3 (x - 4) \cdot 3 \leq 12 \cdot 2 x

Simplify

9 (x - 4) \leq 24 x

Expand

9 (x - 4) : 9 x - 36

9 x - 36 \leq 24 x

Move

36

to the right side

9 x \leq 24 x + 36

Move

24 x

to the left side

- 15 x \leq 36

Multiply both sides by

- 1

15 x \geq - 36

Divide both sides by

15

x \geq - \frac{12}{5}

x (12 x - 5) < 0

u^{2} - u - 6

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

- 8 = - 3 + y

What is (3(x-4)}{12}<= \frac{2x)/3 ?
The solution to (3(x-4)}{12}<= \frac{2x)/3 is x>=-12/5