What is 2(x-14)-x<7(x+2)+x<= x+70 ?

The solution to 2(x-14)-x<7(x+2)+x<= x+70 is -6<x<= 8

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2(x-14)-x<7(x+2)+x<= x+70

2 (x - 14) - x < 7 (x + 2) + x \leq x + 70

- 6 < x \leq 8

Interval Notation

(- 6, 8]

Solution steps

2 (x - 14) - x < 7 (x + 2) + x \leq x + 70

a < u \leq b

then

a < u and u \leq b

2 (x - 14) - x < 7 (x + 2) + x and 7 (x + 2) + x \leq x + 70

2 (x - 14) - x < 7 (x + 2) + x : x > - 6

7 (x + 2) + x \leq x + 70 : x \leq 8

Combine the intervals

x > - 6 and x \leq 8

Merge Overlapping Intervals

- 6 < x \leq 8

\frac{3}{4} x = 4

\frac{12 x + 65}{( x + 4 ) ^{2}} \geq 5

(\frac{- 2}{2})^{2}

lo g_{3} (- 1)

(- \frac{2}{3})^{- 5}

What is 2(x-14)-x<7(x+2)+x<= x+70 ?
The solution to 2(x-14)-x<7(x+2)+x<= x+70 is -6<x<= 8