Question

What are the solutions of the inequality? Check the solutions. 4x + 6 < –6

Answer 1

http://www.mathpapa.com/algebra-calculator.html

Answer 2

You have to solve for x but still keep the inequality symbol in the middle.
\[4x+6<-6\]

1) you have to subtract +6 on both sides to leave 4x by itself, since you are subtracting it to the other side, change the positive 6 to a negative 6:
\[4x < -6-6 \]
\[4x < -12\]

2) divide the 4 to both sides to solve for x:
\[4x/4 < -12/4\]
since the 4's cancel on the left side of the inequality symbol, all you have to do is simplify -12/4 to find what is greater than x.
\[x < -12/4\]
\[x < -3\]

3.) To check, simply substitute x for anything less than -3 (meaning -4 and above).

Answer 3

4x+6<−6

Subtract 6 from both sides.

4x+6−6<−6−6

4x<−12

Divide both sides by 4.

4x / 4 < −12 / 4

x<−3