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Popular >

(8x+7)/6 <= (5x+2)/7

Solution

\frac{8 x + 7}{6} \leq \frac{5 x + 2}{7}

Solution

x \leq - \frac{37}{26}

+2

Interval Notation

(- \infty, - \frac{37}{26}]

Decimal Notation

x \leq - 1.42307 \dots

Solution steps

\frac{8 x + 7}{6} \leq \frac{5 x + 2}{7}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(8 x + 7) \cdot 7 \leq 6 (5 x + 2)

Expand

(8 x + 7) \cdot 7 : 56 x + 49

Expand

6 (5 x + 2) : 30 x + 12

56 x + 49 \leq 30 x + 12

Move

49

to the right side

56 x \leq 30 x - 37

Move

30 x

to the left side

26 x \leq - 37

Divide both sides by

26

x \leq - \frac{37}{26}

Popular Examples

factor 49x^2-100y^4 factor

49 x^{2} - 100 y^{4}

x^{2} + x^{2} = 2

- 3 x^{2} = - 363

- 6 \leq x \leq 2

- 12 \leq - 3 x + 3 < - 6

Frequently Asked Questions (FAQ)

What is (8x+7)/6 <= (5x+2)/7 ?
The solution to (8x+7)/6 <= (5x+2)/7 is x<=-37/26