What is 3/2+5x>= 4/3 x+8-5/4 ?

The solution to 3/2+5x>= 4/3 x+8-5/4 is x>= 63/44

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3/2+5x>= 4/3 x+8-5/4

\frac{3}{2} + 5 x \geq \frac{4}{3} x + 8 - \frac{5}{4}

x \geq \frac{63}{44}

Interval Notation

[\frac{63}{44}, \infty)

Decimal Notation

x \geq 1.43181 \dots

Solution steps

\frac{3}{2} + 5 x \geq \frac{4}{3} x + 8 - \frac{5}{4}

Combine the fractions

8 - \frac{5}{4} : \frac{27}{4}

\frac{3}{2} + 5 x \geq \frac{27}{4} + \frac{4}{3} x

Move

\frac{3}{2}

to the right side

5 x \geq \frac{21}{4} + \frac{4}{3} x

Move

\frac{4}{3} x

to the left side

\frac{11}{3} x \geq \frac{21}{4}

Multiply both sides by

3

11 x \geq \frac{63}{4}

Divide both sides by

11

x \geq \frac{63}{44}

147

21 \cdot 3

\frac{1}{10 i}

\frac{1}{e ^{1}}

8^{2} = 16

What is 3/2+5x>= 4/3 x+8-5/4 ?
The solution to 3/2+5x>= 4/3 x+8-5/4 is x>= 63/44