4x + 3 < 16
4x < 13
x < 13/4
–2x < 3
-3 < 2x
-3/2 < x
-3/2 < x < 13/4
This is equivalent to
4x + 3 < 16 AND –2x < 3
Compound inequalities always imply AND.
As you wrote it, x can be anything, because it will always be less than 13/4 OR greater than -3/2
4x + 3 < 16 or –2x < 3
one-Variable Compound Inequalities
4 answers
How would you explain step by step to get the answer?
How do you graph this?
I showed the solutions. As for graphing, just plot the two solutions (points) and shade to the left or right, as appropriate.
If that doesn't clear it up, review the use of the number line.
If that doesn't clear it up, review the use of the number line.
1 answer