What is -2+2x>= (((x+3))/2)>=-10 ?

The solution to -2+2x>= (((x+3))/2)>=-10 is x>= 7/3

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-2+2x>= (((x+3))/2)>=-10

- 2 + 2 x \geq (\frac{( x + 3 )}{2}) \geq - 10

x \geq \frac{7}{3}

Interval Notation

[\frac{7}{3}, \infty)

Decimal Notation

x \geq 2.33333 \dots

Solution steps

- 2 + 2 x \geq (\frac{( x + 3 )}{2}) \geq - 10

a \geq u \geq b

then

a \geq u and u \geq b

- 2 + 2 x \geq (\frac{( x + 3 )}{2}) and (\frac{( x + 3 )}{2}) \geq - 10

- 2 + 2 x \geq \frac{x + 3}{2} : x \geq \frac{7}{3}

\frac{x + 3}{2} \geq - 10 : x \geq - 23

Combine the intervals

x \geq \frac{7}{3} and x \geq - 23

Merge Overlapping Intervals

x \geq \frac{7}{3}

\frac{x}{2} + 2 - \frac{x}{12} = \frac{x}{6} - \frac{5}{4}

3 (3 + 3)

\frac{( 2 x - 1 ) ( 2 x + 1 )}{4} = \frac{3 ( 4 x ^{2} + 1 )}{12} - x

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

b^{4} - 256

What is -2+2x>= (((x+3))/2)>=-10 ?
The solution to -2+2x>= (((x+3))/2)>=-10 is x>= 7/3