Algebra

[Armino]

How do I solve these inequalitys?

-18 < 2(12-3b)


5p-3(p-6)&#8804;0

Please post the steps to solving them too! Thanks

 

[Jimmy]

Solve it just like you would solve an equation (but if you multiple/divide by a negative number, you must flip the sign of the inequality)?

-18 < 2(12-3b)
-18 < 24 - 12b
0 < 42 - 12b
12b < 42
b < 3.5

5p - 3(p - 6) &#8804; 0
5p - 3p + 18 &#8804; 0
2p + 18 &#8804; 0
2p &#8804; -18
p &#8804; -9

 

[Armino]

Solve it just like you would solve an equation (but if you multiple/divide by a negative number, you must flip the sign of the inequality)?

-18 < 2(12-3b)
-18 < 24 - 12b
0 < 42 - 12b
12b < 42
b < 3.5

5p - 3(p - 6) &#8804; 0
5p - 3p + 18 &#8804; 0
2p + 18 &#8804; 0
2p &#8804; -18
p &#8804; -9

Thanks
but where did 12b come from wouldnt it be 6b

 

[1nuyasha]

Bro, you did it wrong it isnt 12b in the 2nd step.. It's 6b use the distributive property.. Idk how you got 12 2*3b is 6b.. not 12b

 

[Rsaccounttrader]

Bro, you did it wrong it isnt 12b in the 2nd step.. It's 6b use the distributive property.. Idk how you got 12 2*3b is 6b.. not 12b

Chill. A simple typo. The important thing is Jimmy showed him how to do that type of problem.

 

[Jimmy]

Thanks
but where did 12b come from wouldnt it be 6b

This is correct, so the final answer should be b < 7.

My bad :embar: