Question

Solve the inequality and give the solution in interval notation.

4x + 10 < 42

Answer 1

Answer choices:

(8, ∞)

(-∞, 8)

(-∞, 8]

[8, ∞)

Answer 2

\[4x+10=42\]
Subtract 10 from both sides.
\[4x=32\]
Divide both sides by 4.
\[x=8\]
Now, because you have not divided by a negative number, the sign from the original inequality will be the same as the simplified inequality.
\[4x+10<42\]
\[x <8\]
Since any number less than eight (including negatives) can be x, then the answer would be \[(-\infty, 8)\] because all of the numbers between -infty and 8 can be put in for x.

Answer 3

Thank you :)

Answer 4

No problem. We're all learners here. ;D