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Popular >

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

Solution

\frac{3}{4} (x - 7) \geq x + 2

Solution

x \leq - 29

+1

Interval Notation

(- \infty, - 29]

Solution steps

\frac{3}{4} (x - 7) \geq x + 2

Expand

\frac{3}{4} (x - 7) : \frac{3}{4} x - \frac{21}{4}

\frac{3}{4} x - \frac{21}{4} \geq x + 2

Move

\frac{21}{4}

to the right side

\frac{3}{4} x \geq x + \frac{29}{4}

Move

x

to the left side

- \frac{1}{4} x \geq \frac{29}{4}

Multiply both sides by

- 1

\frac{1}{4} x \leq - \frac{29}{4}

Multiply both sides by

4

x \leq - 29

Popular Examples

simplify sqrt(1/9)simplify

\frac{1}{9}

8 > - 2 x + 4 > - 2

- x^{2} - x + 3 = 0

1 1^{2} + 2^{2} = c^{2}

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

\frac{5}{2 + 3}

Frequently Asked Questions (FAQ)

What is 3/4 (x-7)>= x+2 ?
The solution to 3/4 (x-7)>= x+2 is x<=-29