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Popular >

a/4-(2a-2)/3 <(2a)/4

Solution

\frac{a}{4} - \frac{2 a - 2}{3} < \frac{2 a}{4}

Solution

a > \frac{8}{11}

+2

Interval Notation

(\frac{8}{11}, \infty)

Decimal Notation

a > 0.72727 \dots

Solution steps

\frac{a}{4} - \frac{2 a - 2}{3} < \frac{2 a}{4}

Multiply by LCM

3 a - 4 (2 a - 2) < 6 a

Expand

- 4 (2 a - 2) : - 8 a + 8

3 a - 8 a + 8 < 6 a

Add similar elements:

3 a - 8 a = - 5 a

- 5 a + 8 < 6 a

Move

8

to the right side

- 5 a < 6 a - 8

Move

6 a

to the left side

- 11 a < - 8

Multiply both sides by

- 1

11 a > 8

Divide both sides by

11

a > \frac{8}{11}

Popular Examples

simplify 1.5^2 simplify

1. 5^{2}

\frac{1}{4} (4)^{2}

3 \frac{x}{9} + 7 = - 8

x^{2} - 11 x = 26

factor 4a^2+15a+9 factor

4 a^{2} + 15 a + 9

Frequently Asked Questions (FAQ)

What is a/4-(2a-2)/3 <(2a)/4 ?
The solution to a/4-(2a-2)/3 <(2a)/4 is a> 8/11