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Popular >

(4x+1)/3 <(12x-3)/7

Solution

\frac{4 x + 1}{3} < \frac{12 x - 3}{7}

Solution

x > 2

+1

Solution steps

\frac{4 x + 1}{3} < \frac{12 x - 3}{7}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(4 x + 1) \cdot 7 < 3 (12 x - 3)

Expand

(4 x + 1) \cdot 7 : 28 x + 7

Expand

3 (12 x - 3) : 36 x - 9

28 x + 7 < 36 x - 9

Move

7

to the right side

28 x < 36 x - 16

Move

36 x

to the left side

- 8 x < - 16

Multiply both sides by

- 1

8 x > 16

Divide both sides by

8

x > 2

Popular Examples

-x/4-4>5 x/3-1/6+8

- \frac{x}{4} - 4 > 5 \frac{x}{3} - \frac{1}{6} + 8

8 b > - 5

4x-1>= 4(x-2)+7

4 x - 1 \geq 4 (x - 2) + 7

8 x - 1 > 3 + 5 x

3 x - 2 < 2 n + 1

Frequently Asked Questions (FAQ)

What is (4x+1)/3 <(12x-3)/7 ?
The solution to (4x+1)/3 <(12x-3)/7 is x>2