Solve the inequality : 3(6b-1) > 18 - 3b

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hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

3(6b-1) > 18 - 3b

First we will factor 3 from the right side:

==> 3 ( 6b -1) > 3 ( 6-b)

Now divide both sides by 3:

==> (6b -1) > (6-b)

Now add b to both sides:

==> 6b -1 + b > 6 - b + b

==> 7b -1 > 6

Now add 1 to both sides:

==> 7b > 7

Now divide by 7:

==> b > 7/7

==> b> 1

Then the solution for the inequality is all real numbers greater that 1.

==> b belongs to the interval :  ( 1 , inf )

giorgiana1976's profile pic

giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

 We'll factorize by 3 to the right side:

3(6b-1) > 3(6 - b)

We'll divide by 3:

6b-1>6-b

We'll subtract 6-b both sides:

6b - 1 - 6 + b > 0

We'll combine like terms:

7b - 7 > 0

We'll factorize by 7:

7(b-1)>0

We'll divide by 7:

b-1>0

b>1

The interval of admissible values for b is:(1, +infinite)

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