What is -6/5 (4-x)<=-4(x+1/2) ?

The solution to -6/5 (4-x)<=-4(x+1/2) is x<= 7/13

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-6/5 (4-x)<=-4(x+1/2)

- \frac{6}{5} (4 - x) \leq - 4 (x + \frac{1}{2})

x \leq \frac{7}{13}

Interval Notation

(- \infty, \frac{7}{13}]

Decimal Notation

x \leq 0.53846 \dots

Solution steps

- \frac{6}{5} (4 - x) \leq - 4 (x + \frac{1}{2})

Expand

- \frac{6}{5} (4 - x) : - \frac{24}{5} + \frac{6}{5} x

Expand

- 4 (x + \frac{1}{2}) : - 4 x - 2

- \frac{24}{5} + \frac{6}{5} x \leq - 4 x - 2

Move

\frac{24}{5}

to the right side

\frac{6}{5} x \leq - 4 x + \frac{14}{5}

Move

4 x

to the left side

\frac{26}{5} x \leq \frac{14}{5}

Multiply both sides by

5

26 x \leq 14

Divide both sides by

26

x \leq \frac{7}{13}

99 = - 16 (t) (t) + 80 (t) + 3

2 x^{2} - 4 x - 5 = 0

10 a^{4} - a^{3} - 21 a^{2}

(x - 2)^{3} - x (x - 5) \cdot (x - 1) = 2 - 3 x

(1 + i)^{8}

What is -6/5 (4-x)<=-4(x+1/2) ?
The solution to -6/5 (4-x)<=-4(x+1/2) is x<= 7/13