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Popular >

(7x-1)/3 >= (x+2)/4

Solution

\frac{7 x - 1}{3} \geq \frac{x + 2}{4}

Solution

x \geq \frac{2}{5}

+2

Interval Notation

[\frac{2}{5}, \infty)

Decimal Notation

x \geq 0.4

Solution steps

\frac{7 x - 1}{3} \geq \frac{x + 2}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(7 x - 1) \cdot 4 \geq 3 (x + 2)

Expand

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

Expand

3 (x + 2) : 3 x + 6

28 x - 4 \geq 3 x + 6

Move

4

to the right side

28 x \geq 3 x + 10

Move

3 x

to the left side

25 x \geq 10

Divide both sides by

25

x \geq \frac{2}{5}

Popular Examples

simplify 2sqrt(5)*sqrt(2)simplify

25 \cdot 2

simplify 0.81^{-1*2}+1/(1-0.81)simplify

0.8 1^{- 1 \cdot 2} + \frac{1}{1 - 0.81}

18 = x 3

2 x^{2} = 242

simplify (8*10^9)/(2*10^5)simplify

\frac{8 \cdot 1 0 ^{9}}{2 \cdot 1 0 ^{5}}

Frequently Asked Questions (FAQ)

What is (7x-1)/3 >= (x+2)/4 ?
The solution to (7x-1)/3 >= (x+2)/4 is x>= 2/5