What is 3/2 x+1/5 >=-1\lor-1/2 x-7/3 >= 5 ?

The solution to 3/2 x+1/5 >=-1\lor-1/2 x-7/3 >= 5 is x =-4/5

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3/2 x+1/5 >=-1\lor-1/2 x-7/3 >= 5

\frac{3}{2} x + \frac{1}{5} \geq - 1 or - \frac{1}{2} x - \frac{7}{3} \geq 5

x \leq - \frac{44}{3} or x \geq - \frac{4}{5}

Interval Notation

(- \infty, - \frac{44}{3}] \cup [- \frac{4}{5}, \infty)

Decimal Notation

x \leq - 14.66666 \dots or x \geq - 0.8

Solution steps

\frac{3}{2} x + \frac{1}{5} \geq - 1 or - \frac{1}{2} x - \frac{7}{3} \geq 5

\frac{3}{2} x + \frac{1}{5} \geq - 1 : x \geq - \frac{4}{5}

- \frac{1}{2} x - \frac{7}{3} \geq 5 : x \leq - \frac{44}{3}

Combine the intervals

x \geq - \frac{4}{5} or x \leq - \frac{44}{3}

Merge Overlapping Intervals

x \leq - \frac{44}{3} or x \geq - \frac{4}{5}

56 = (x + 3) (x) (2)

r^{2} + r - 12 = 0

- 4 (x + 14) + 5 x = 0

(\frac{6}{11})^{2}

2 x^{3} + x^{2} - 8 x - 4

What is 3/2 x+1/5 >=-1\lor-1/2 x-7/3 >= 5 ?
The solution to 3/2 x+1/5 >=-1\lor-1/2 x-7/3 >= 5 is x<=-44/3 \lor x>=-4/5