What is 5/3 (2-x)>= 2/3 (3-5x) ?

The solution to 5/3 (2-x)>= 2/3 (3-5x) is x>=-4/5

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5/3 (2-x)>= 2/3 (3-5x)

\frac{5}{3} (2 - x) \geq \frac{2}{3} (3 - 5 x)

x \geq - \frac{4}{5}

Interval Notation

[- \frac{4}{5}, \infty)

Decimal Notation

x \geq - 0.8

Solution steps

\frac{5}{3} (2 - x) \geq \frac{2}{3} (3 - 5 x)

Expand

\frac{5}{3} (2 - x) : \frac{10}{3} - \frac{5}{3} x

Expand

\frac{2}{3} (3 - 5 x) : 2 - \frac{10}{3} x

\frac{10}{3} - \frac{5}{3} x \geq 2 - \frac{10}{3} x

Move

\frac{10}{3}

to the right side

- \frac{5}{3} x \geq - \frac{4}{3} - \frac{10}{3} x

Move

\frac{10}{3} x

to the left side

\frac{5}{3} x \geq - \frac{4}{3}

Multiply both sides by

3

5 x \geq - 4

Divide both sides by

5

x \geq - \frac{4}{5}

- \frac{1}{2} (2 x + 1) \leq - \frac{3}{8} (x + 2)

- \frac{x}{7} = - 5

\frac{( x + 3 ) ^{2} ( x - 5 ) ^{3}}{( x - 1 ) ( x ^{2} - 9 )} \geq 0

4 > - \frac{2}{9} + v

4 + \frac{n}{3} < 6

What is 5/3 (2-x)>= 2/3 (3-5x) ?
The solution to 5/3 (2-x)>= 2/3 (3-5x) is x>=-4/5