Answer:
Solving the inequality [tex]11b+6 >=14b+3[/tex] we get b <= 1
Step-by-step explanation:
We need to solve the inequality [tex]11b+6 >=14b+3[/tex]
solving the inequality:
[tex]11b+6 >=14b+3[/tex]
Subtracting 6 on both sides
[tex]11b+6-6 >=14b+3-6\\11b >= 14b-3[/tex]
subtracting 14 b on both sides
[tex]11b-14b >= 14b-3-14b\\-3b >= -3[/tex]
Divide both sides by -3 and the inequality will be changed to less than equal i.e <=
[tex]\frac{-3b}{-3}<=\frac{-3}{-3}\\b<=1[/tex]
So, solving the inequality [tex]11b+6 >=14b+3[/tex] we get b <= 1
