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Popular >

(x+7)/6 >(4x-6)/7

Solution

\frac{x + 7}{6} > \frac{4 x - 6}{7}

Solution

x < 5

+1

Interval Notation

(- \infty, 5)

Solution steps

\frac{x + 7}{6} > \frac{4 x - 6}{7}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 7) \cdot 7 > 6 (4 x - 6)

Expand

(x + 7) \cdot 7 : 7 x + 49

Expand

6 (4 x - 6) : 24 x - 36

7 x + 49 > 24 x - 36

Move

49

to the right side

7 x > 24 x - 85

Move

24 x

to the left side

- 17 x > - 85

Multiply both sides by

- 1

17 x < 85

Divide both sides by

17

x < 5

Popular Examples

m^{2} + 4 m - 2 = 0

simplify (1+43i)/(-5+7i)simplify

\frac{1 + 43 i}{- 5 + 7 i}

12=k(ln(7))+(20)/(ln(2.6))-k

12 = k (ln (7)) + \frac{20}{ln ( 2.6 )} - k

simplify (-1)^{1/5}simplify

(- 1)^{\frac{1}{5}}

simplify 4sqrt(3)*2 simplify

43 \cdot 2

Frequently Asked Questions (FAQ)

What is (x+7)/6 >(4x-6)/7 ?
The solution to (x+7)/6 >(4x-6)/7 is x<5