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Popular >

3/5 (x-5)+2/3 (x-3)>-6

Solution

\frac{3}{5} (x - 5) + \frac{2}{3} (x - 3) > - 6

Solution

x > - \frac{15}{19}

+2

Interval Notation

(- \frac{15}{19}, \infty)

Decimal Notation

x > - 0.78947 \dots

Solution steps

\frac{3}{5} (x - 5) + \frac{2}{3} (x - 3) > - 6

Multiply by LCM

9 (x - 5) + 10 (x - 3) > - 90

Expand

9 (x - 5) + 10 (x - 3) : 19 x - 75

19 x - 75 > - 90

Move

75

to the right side

19 x > - 15

Divide both sides by

19

x > - \frac{15}{19}

Popular Examples

1.98 = 0.044 \cdot n

\frac{n}{4} = 6

2 - x^{2} = - x

- 5 x - 2 x = - 7 x + 1

x^{2} - 6 x + 6 = - 2

Frequently Asked Questions (FAQ)

What is 3/5 (x-5)+2/3 (x-3)>-6 ?
The solution to 3/5 (x-5)+2/3 (x-3)>-6 is x>-15/19