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Popular >

(3x-4)/2 <(4x+7)/5

Solution

\frac{3 x - 4}{2} < \frac{4 x + 7}{5}

Solution

x < \frac{34}{7}

+2

Interval Notation

(- \infty, \frac{34}{7})

Decimal Notation

x < 4.85714 \dots

Solution steps

\frac{3 x - 4}{2} < \frac{4 x + 7}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(3 x - 4) \cdot 5 < 2 (4 x + 7)

Expand

(3 x - 4) \cdot 5 : 15 x - 20

Expand

2 (4 x + 7) : 8 x + 14

15 x - 20 < 8 x + 14

Move

20

to the right side

15 x < 8 x + 34

Move

8 x

to the left side

7 x < 34

Divide both sides by

7

x < \frac{34}{7}

Popular Examples

28 = 5 x - 7

2 m^{2} - 12 m - 17 = - 5

x^{2} + 17 x + 16 = 0

8 - 3 x \geq 7 x - 6

- 10 > x - 6 + 3 x

Frequently Asked Questions (FAQ)

What is (3x-4)/2 <(4x+7)/5 ?
The solution to (3x-4)/2 <(4x+7)/5 is x< 34/7