What is -3<= 3x+3<((4x+9))/2 ?

The solution to -3<= 3x+3<((4x+9))/2 is -2<= x< 3/2

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-3<= 3x+3<((4x+9))/2

- 3 \leq 3 x + 3 < \frac{( 4 x + 9 )}{2}

- 2 \leq x < \frac{3}{2}

Interval Notation

[- 2, \frac{3}{2})

Decimal Notation

- 2 \leq x < 1.5

Solution steps

- 3 \leq 3 x + 3 < \frac{( 4 x + 9 )}{2}

a \leq u < b

then

a \leq u and u < b

- 3 \leq 3 x + 3 and 3 x + 3 < \frac{( 4 x + 9 )}{2}

- 3 \leq 3 x + 3 : x \geq - 2

3 x + 3 < \frac{4 x + 9}{2} : x < \frac{3}{2}

Combine the intervals

x \geq - 2 and x < \frac{3}{2}

Merge Overlapping Intervals

- 2 \leq x < \frac{3}{2}

- 5 < 2 x + 3 < 1

- 3 < x < 8

- 3 < x < 2

2 x - 2 \leq x - 1 \leq 4

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

What is -3<= 3x+3<((4x+9))/2 ?
The solution to -3<= 3x+3<((4x+9))/2 is -2<= x< 3/2