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Popular >

(2m+3)/2-17/4 <(m+2)/8

Solution

\frac{2 m + 3}{2} - \frac{17}{4} < \frac{m + 2}{8}

Solution

m < \frac{24}{7}

+2

Interval Notation

(- \infty, \frac{24}{7})

Decimal Notation

m < 3.42857 \dots

Solution steps

\frac{2 m + 3}{2} - \frac{17}{4} < \frac{m + 2}{8}

Multiply by LCM

4 (2 m + 3) - 34 < m + 2

Expand

4 (2 m + 3) - 34 : 8 m - 22

8 m - 22 < m + 2

Move

22

to the right side

8 m < m + 24

Move

m

to the left side

7 m < 24

Divide both sides by

7

m < \frac{24}{7}

Popular Examples

simplify 7/5*5 simplify

\frac{7}{5} \cdot 5

x^{2} - 2 x + 2 = 0

12 x^{2} - 25 x + 12 = 0

(5x)/6-x/3 = 1/6

\frac{5 x}{6} - \frac{x}{3} = \frac{1}{6}

x^{3} + 4 x^{2} - x \geq 4

Frequently Asked Questions (FAQ)

What is (2m+3)/2-17/4 <(m+2)/8 ?
The solution to (2m+3)/2-17/4 <(m+2)/8 is m< 24/7