Question

Solve: c-10+3c<2 step by step

Answer 1

Answer:

c < 3

Step-by-step explanation:

We can first add 10 to both sides to remove the -10.

This is additive property of equality, where both sides must stay the same ratio, so we always use the same property on both sides unless simplifying what is already there.

So we now have c + 3c < 12.

As I mentioned less than 2 full sentences above, we can simplify without doing the same thing to both sides if it is already there, so we can add the c + 3c since it is already there.

We now have 4c < 12.

Then, we divide both sides by 4 to get c, and again mentioned about 4 sentences above, we need to divide both sides.

So we now should have c < 3.

NOTE: IF YOU HAVE A SIMILAR PROBLEM WHERE THE VARIABLE IS NEGATIVE LIKE -4a FOR EXAMPLE, THE INEQUALITY SIGN CHANGES DIRECTION. IN THIS PROBLEM, THAT IS NOT THE CASE, BUT FOR FUTURE PROBLEMS, THAT IS A MUST.

:D