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Popular >

(2x+1)/7 >(x-3)/4

Solution

\frac{2 x + 1}{7} > \frac{x - 3}{4}

Solution

x > - 25

+1

Solution steps

\frac{2 x + 1}{7} > \frac{x - 3}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 x + 1) \cdot 4 > 7 (x - 3)

Expand

(2 x + 1) \cdot 4 : 8 x + 4

Expand

7 (x - 3) : 7 x - 21

8 x + 4 > 7 x - 21

Move

4

to the right side

8 x > 7 x - 25

Move

7 x

to the left side

x > - 25

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700x^2+280000x+28000000=0

700 x^{2} + 280000 x + 28000000 = 0

(x+4)^2=2x(5x-1)-7(x-2)

(x + 4)^{2} = 2 x (5 x - 1) - 7 (x - 2)

simplify ln(ab)simplify

ln (ab)

Frequently Asked Questions (FAQ)

What is (2x+1)/7 >(x-3)/4 ?
The solution to (2x+1)/7 >(x-3)/4 is x>-25