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Popular >

(x-5)/5 <(x-7)/3

Solution

\frac{x - 5}{5} < \frac{x - 7}{3}

Solution

x > 10

+1

Interval Notation

(10, \infty)

Solution steps

\frac{x - 5}{5} < \frac{x - 7}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 5) \cdot 3 < 5 (x - 7)

Expand

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

Expand

5 (x - 7) : 5 x - 35

3 x - 15 < 5 x - 35

Move

15

to the right side

3 x < 5 x - 20

Move

5 x

to the left side

- 2 x < - 20

Multiply both sides by

- 1

2 x > 20

Divide both sides by

2

x > 10

Popular Examples

- 19 - 4 v => - 35

2 x - 3 > - 1

3 x - 5 > 62

2 x + 1 < x + 6

4 y + 7 > 2 (y + 1)

Frequently Asked Questions (FAQ)

What is (x-5)/5 <(x-7)/3 ?
The solution to (x-5)/5 <(x-7)/3 is x>10