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Popular >

(4x-3)/2 >= (3x-5)/7

Solution

\frac{4 x - 3}{2} \geq \frac{3 x - 5}{7}

Solution

x \geq \frac{1}{2}

+2

Interval Notation

[\frac{1}{2}, \infty)

Decimal Notation

x \geq 0.5

Solution steps

\frac{4 x - 3}{2} \geq \frac{3 x - 5}{7}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(4 x - 3) \cdot 7 \geq 2 (3 x - 5)

Expand

(4 x - 3) \cdot 7 : 28 x - 21

Expand

2 (3 x - 5) : 6 x - 10

28 x - 21 \geq 6 x - 10

Move

21

to the right side

28 x \geq 6 x + 11

Move

6 x

to the left side

22 x \geq 11

Divide both sides by

22

x \geq \frac{1}{2}

Popular Examples

∣ 4 - 5 x ∣ > 2 x - 1

simplify (m+7)/(m^2+4m-21)simplify

\frac{m + 7}{m ^{2} + 4 m - 21}

factor x^2+3x-378 factor

x^{2} + 3 x - 378

simplify ((2x^2y^2)^4)/(yx^4y^3)simplify

\frac{( 2 x ^{2} y ^{2} ) ^{4}}{y x ^{4} y ^{3}}

simplify-2*3/2 simplify

- 2 \cdot \frac{3}{2}

Frequently Asked Questions (FAQ)

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