What is 1/2*(4x-2)-2/3*(6x+9)<= 4 ?

The solution to 1/2*(4x-2)-2/3*(6x+9) =-11/2

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1/2(4x-2)-2/3(6x+9)<= 4

\frac{1}{2} \cdot (4 x - 2) - \frac{2}{3} \cdot (6 x + 9) \leq 4

x \geq - \frac{11}{2}

Interval Notation

[- \frac{11}{2}, \infty)

Decimal Notation

x \geq - 5.5

Solution steps

\frac{1}{2} (4 x - 2) - \frac{2}{3} (6 x + 9) \leq 4

\frac{1}{2} (4 x - 2) = \frac{4 x - 2}{2}

\frac{2}{3} (6 x + 9) = \frac{2 ( 6 x + 9 )}{3}

\frac{4 x - 2}{2} - \frac{2 ( 6 x + 9 )}{3} \leq 4

Multiply by LCM

6 (2 x - 1) - 12 (2 x + 3) \leq 24

Expand

6 (2 x - 1) - 12 (2 x + 3) : - 12 x - 42

- 12 x - 42 \leq 24

Move

42

to the right side

- 12 x \leq 66

Multiply both sides by

- 1

12 x \geq - 66

Divide both sides by

12

x \geq - \frac{11}{2}

x, x + 4 y - 12 < 0

4 x > 16

t, k (t) < 0

- 3 x + 4 < 11

1 - 7 x \leq 8

What is 1/2*(4x-2)-2/3*(6x+9)<= 4 ?
The solution to 1/2*(4x-2)-2/3*(6x+9)<= 4 is x>=-11/2