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Popular >

y/5 <= (2y+1)/2

Solution

\frac{y}{5} \leq \frac{2 y + 1}{2}

Solution

y \geq - \frac{5}{8}

+2

Interval Notation

[- \frac{5}{8}, \infty)

Decimal Notation

y \geq - 0.625

Solution steps

\frac{y}{5} \leq \frac{2 y + 1}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

y \cdot 2 \leq 5 (2 y + 1)

Expand

5 (2 y + 1) : 10 y + 5

y \cdot 2 \leq 10 y + 5

Move

10 y

to the left side

- 8 y \leq 5

Multiply both sides by

- 1

8 y \geq - 5

Divide both sides by

8

y \geq - \frac{5}{8}

Popular Examples

factor 16q^3-48q^2+32q factor

16 q^{3} - 48 q^{2} + 32 q

\frac{3 x + 4}{2} = 9.5

simplify (3^3)/9-(-4)^2 simplify

\frac{3 ^{3}}{9} - (- 4)^{2}

- \frac{1}{2} y \leq 10

(4x}{12}=\frac{3x)/9

\frac{4 x}{12} = \frac{3 x}{9}

Frequently Asked Questions (FAQ)

What is y/5 <= (2y+1)/2 ?
The solution to y/5 <= (2y+1)/2 is y>=-5/8