What is -5<= (4-3x)/2 <1 ?

The solution to -5<= (4-3x)/2 <1 is 2/3 <x<= 14/3

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-5<= (4-3x)/2 <1

- 5 \leq \frac{4 - 3 x}{2} < 1

\frac{2}{3} < x \leq \frac{14}{3}

Interval Notation

(\frac{2}{3}, \frac{14}{3}]

Decimal Notation

0.66666 \dots < x \leq 4.66666 \dots

Solution steps

- 5 \leq \frac{4 - 3 x}{2} < 1

a \leq u < b

then

a \leq u and u < b

- 5 \leq \frac{4 - 3 x}{2} and \frac{4 - 3 x}{2} < 1

- 5 \leq \frac{4 - 3 x}{2} : x \leq \frac{14}{3}

\frac{4 - 3 x}{2} < 1 : x > \frac{2}{3}

Combine the intervals

x \leq \frac{14}{3} and x > \frac{2}{3}

Merge Overlapping Intervals

\frac{2}{3} < x \leq \frac{14}{3}

\frac{1}{2} \cdot 3

26 n - 4 = 360

x - x^{2} = 0

\frac{7 !}{( 7 - 2 ) ! 2 !}

4 x^{2} + 24 x = 0