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Popular >

1/2 x+3<4x-7

Solution

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

Solution

x > \frac{20}{7}

+2

Interval Notation

(\frac{20}{7}, \infty)

Decimal Notation

x > 2.85714 \dots

Solution steps

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

Move

3

to the right side

\frac{1}{2} x < 4 x - 10

Move

4 x

to the left side

- \frac{7}{2} x < - 10

Multiply both sides by

- 1

\frac{7}{2} x > 10

Multiply both sides by

2

7 x > 20

Divide both sides by

7

x > \frac{20}{7}

Popular Examples

factor (5a-3b)^2-25a^2 factor

(5 a - 3 b)^{2} - 25 a^{2}

-2(3y-6)+4(5y-8)=92

- 2 (3 y - 6) + 4 (5 y - 8) = 92

simplify (5+sqrt(3))/(2-sqrt(3))simplify

\frac{5 + 3}{2 - 3}

factor 4x^2-15x-25 factor

4 x^{2} - 15 x - 25

simplify sqrt(8^2+16^2)simplify

8^{2} + 1 6^{2}

Frequently Asked Questions (FAQ)

What is 1/2 x+3<4x-7 ?
The solution to 1/2 x+3<4x-7 is x> 20/7