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Popular >

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

Solution

x + 4 \geq \frac{1}{2} (x - 3)

Solution

x \geq - 11

+1

Interval Notation

[- 11, \infty)

Solution steps

x + 4 \geq \frac{1}{2} (x - 3)

Expand

\frac{1}{2} (x - 3) : \frac{1}{2} x - \frac{3}{2}

x + 4 \geq \frac{1}{2} x - \frac{3}{2}

Move

4

to the right side

x \geq - \frac{11}{2} + \frac{1}{2} x

Move

\frac{1}{2} x

to the left side

\frac{1}{2} x \geq - \frac{11}{2}

Multiply both sides by

2

x \geq - 11

Popular Examples

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\frac{n}{n + 1} - 1

3 x \leq 20 - 2 x^{2}

19 - ∣ 2 m + 23 ∣ = 39

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\frac{4}{3 + 2}

factor-16t^2+64t+80 factor

- 16 t^{2} + 64 t + 80

Frequently Asked Questions (FAQ)

What is x+4>= 1/2 (x-3) ?
The solution to x+4>= 1/2 (x-3) is x>=-11