Solve for x the inequality:4(6x-1)+4x>24?

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The inequality to be solved is 4(6x-1)+4x>24

4(6x-1) + 4x > 24

=> (6x - 1) + x > 6

=> 7x - 1 > 6

=> 7x > 7

=> x > 1

The values of x lie in (1 , +inf.)

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giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

We'll divide by 4 both sides:

6x - 1 + x > 6

We'll subtract 6 both sides:

6x - 1 - 6 + x > 0

We'll combine like terms:

7x - 7 > 0

We'll factorize by 7:

7(x-1)>0

We'll divide by 7:

x-1>0

x>1

The range of possible values for x, for the inequality to hold, is:(1, +infinite).

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