Solve the following inequality

|-2x+1|<13

1+4x

2

−4x>13+3x

2

Step-by-step explanation:

x

2

−4x−12>0

(x−6)(x+2)>0

xϵ(−∞,−2)∪(6,∞)

-6 < x < 7

Step-by-step explanation:

-2x + 1 ≥ 0

-2x ≥ -1

x ≤ 1/2

if x ≤ 1/2

-2x + 1 < 13

-2x < 12

x > -6

-6 < x ≤ 1/2

if x > 1/2

2x-1 < 13

2x < 14

x < 7

1/2 < x < 7

-6 < x < 7

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation:

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step-by-step explanation:

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