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Popular >

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

Solution

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

Solution

x \geq 2

+1

Interval Notation

[2, \infty)

Solution steps

\frac{4 x + 1}{3} \leq \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 \leq 3 (12 x - 3)

Expand

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

Expand

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

28 x + 7 \leq 36 x - 9

Move

7

to the right side

28 x \leq 36 x - 16

Move

36 x

to the left side

- 8 x \leq - 16

Multiply both sides by

- 1

8 x \geq 16

Divide both sides by

8

x \geq 2

Popular Examples

4 - 3 x^{2} = - 77

simplify 6^9 simplify

6^{9}

x - 60 = 20

4-sqrt(5y-10)<=-1

4 - 5 y - 10 \leq - 1

factor 20y^2+3y-2 factor

20 y^{2} + 3 y - 2

Frequently Asked Questions (FAQ)

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