What is (4x}{15}-\frac{6x+28)/3 <= 0 ?

The solution to (4x}{15}-\frac{6x+28)/3 =-70/13

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(4x}{15}-\frac{6x+28)/3 <= 0

\frac{4 x}{15} - \frac{6 x + 28}{3} \leq 0

x \geq - \frac{70}{13}

Interval Notation

[- \frac{70}{13}, \infty)

Decimal Notation

x \geq - 5.38461 \dots

Solution steps

\frac{4 x}{15} - \frac{6 x + 28}{3} \leq 0

Multiply by LCM

4 x - 5 (6 x + 28) \leq 0

Expand

- 5 (6 x + 28) : - 30 x - 140

4 x - 30 x - 140 \leq 0

Add similar elements:

4 x - 30 x = - 26 x

- 26 x - 140 \leq 0

Move

140

to the right side

- 26 x \leq 140

Multiply both sides by

- 1

26 x \geq - 140

Divide both sides by

26

x \geq - \frac{70}{13}

- (x + 2) \geq 3 (x - 1)

∣ 4 x - 6 ∣ < 6

- X^{2} - 3 \leq X - 3

4 x^{2} = 11 x + 3

m^{2} - 4 m - 45 = 0

What is (4x}{15}-\frac{6x+28)/3 <= 0 ?
The solution to (4x}{15}-\frac{6x+28)/3 <= 0 is x>=-70/13