4<5-3x<7

The solution to 4<5-3x<7 is -2/3 <x< 1/3

Solution

4 < 5 - 3 x < 7

- \frac{2}{3} < x < \frac{1}{3}

Interval Notation

(- \frac{2}{3}, \frac{1}{3})

Decimal Notation

- 0.66666 \dots < x < 0.33333 \dots

Solution steps

4 < 5 - 3 x < 7

a < u < b

then

a < u and u < b

4 < 5 - 3 x and 5 - 3 x < 7

4 < 5 - 3 x : x < \frac{1}{3}

5 - 3 x < 7 : x > - \frac{2}{3}

Combine the intervals

x < \frac{1}{3} and x > - \frac{2}{3}

Merge Overlapping Intervals

- \frac{2}{3} < x < \frac{1}{3}

6 a^{2} - 13 ab - 5 b^{2}

\frac{1}{3} (9)^{\frac{3}{2}}

(4 - 2 x) + (5 x - 3) = (x - 2) - (x + 3)

62 \cdot 62

\frac{6}{4 a ^{2}} - \frac{5 a}{4}