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Popular >

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

Solution

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

Solution

x \leq - 5

+1

Interval Notation

(- \infty, - 5]

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(1 + x) \cdot 3 : 3 + 3 x

Expand

2 (x - 1) : 2 x - 2

3 + 3 x \leq 2 x - 2

Move

3

to the right side

3 x \leq 2 x - 5

Move

2 x

to the left side

x \leq - 5

Popular Examples

∣ - 3 x + 4 ∣ = ∣ 5 x - 1 ∣

simplify (27/2)^2 simplify

(\frac{27}{2})^{2}

factor 5x^3-10x^2-x+2 factor

5 x^{3} - 10 x^{2} - x + 2

factor 36a^2-12a+1 factor

36 a^{2} - 12 a + 1

simplify (y^{3/2})/(y^{1/2)}simplify

\frac{y ^{\frac{3}{2}}}{y ^{\frac{1}{2}}}

Frequently Asked Questions (FAQ)

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