What is 4>(2-3x)/7 >=-2 ?

The solution to 4>(2-3x)/7 >=-2 is -26/3 <x<= 16/3

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

4 > \frac{2 - 3 x}{7} \geq - 2

- \frac{26}{3} < x \leq \frac{16}{3}

Interval Notation

(- \frac{26}{3}, \frac{16}{3}]

Decimal Notation

- 8.66666 \dots < x \leq 5.33333 \dots

Solution steps

4 > \frac{2 - 3 x}{7} \geq - 2

a > u \geq b

then

a > u and u \geq b

4 > \frac{2 - 3 x}{7} and \frac{2 - 3 x}{7} \geq - 2

4 > \frac{2 - 3 x}{7} : x > - \frac{26}{3}

\frac{2 - 3 x}{7} \geq - 2 : x \leq \frac{16}{3}

Combine the intervals

x > - \frac{26}{3} and x \leq \frac{16}{3}

Merge Overlapping Intervals

- \frac{26}{3} < x \leq \frac{16}{3}

1 - 11 x \geq 12

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

5 c - 3 = 2 c + 12

\frac{3}{2} (x - 2) + 3 = 2

14 x^{2} - 45 x - 14