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Popular >

(x+2)/4 <= (x-1)/3

Solution

\frac{x + 2}{4} \leq \frac{x - 1}{3}

Solution

x \geq 10

+1

Interval Notation

[10, \infty)

Solution steps

\frac{x + 2}{4} \leq \frac{x - 1}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 2) \cdot 3 \leq 4 (x - 1)

Expand

(x + 2) \cdot 3 : 3 x + 6

Expand

4 (x - 1) : 4 x - 4

3 x + 6 \leq 4 x - 4

Move

6

to the right side

3 x \leq 4 x - 10

Move

4 x

to the left side

- x \leq - 10

Multiply both sides by

- 1

x \geq 10

Popular Examples

4 x^{2} + 12 x + 3 = 0

simplify (6*5*4*3)/(6^5)simplify

\frac{6 \cdot 5 \cdot 4 \cdot 3}{6 ^{5}}

4 - 3 x \leq - (1 + 8 x)

∣ x ∣ = \frac{1}{3}

5 x + 12 = 2 (2 x + 7)

Frequently Asked Questions (FAQ)

What is (x+2)/4 <= (x-1)/3 ?
The solution to (x+2)/4 <= (x-1)/3 is x>= 10