What is -2+10x<= 13x+10<24+10x ?

The solution to -2+10x<= 13x+10<24+10x is -4<= x< 14/3

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-2+10x<= 13x+10<24+10x

- 2 + 10 x \leq 13 x + 10 < 24 + 10 x

- 4 \leq x < \frac{14}{3}

Interval Notation

[- 4, \frac{14}{3})

Decimal Notation

- 4 \leq x < 4.66666 \dots

Solution steps

- 2 + 10 x \leq 13 x + 10 < 24 + 10 x

a \leq u < b

then

a \leq u and u < b

- 2 + 10 x \leq 13 x + 10 and 13 x + 10 < 24 + 10 x

- 2 + 10 x \leq 13 x + 10 : x \geq - 4

13 x + 10 < 24 + 10 x : x < \frac{14}{3}

Combine the intervals

x \geq - 4 and x < \frac{14}{3}

Merge Overlapping Intervals

- 4 \leq x < \frac{14}{3}

49 < x < 64

- 3 < x < - 2

- 2 < ∣ 1 - x ∣ < 2

- 2 \leq x < - 1

- 7 \leq - 3 - 3 x < 4

What is -2+10x<= 13x+10<24+10x ?
The solution to -2+10x<= 13x+10<24+10x is -4<= x< 14/3