Asked by Meme

4x + 3 < 16 or –2x < 3
one-Variable Compound Inequalities
Answered by Steve
4x + 3 < 16
4x < 13
x < 13/4

–2x < 3
-3 < 2x
-3/2 < x

-3/2 < x < 13/4
This is equivalent to
<b>4x + 3 < 16 <u>AND</u> –2x < 3</b>
Compound inequalities always imply AND.

As you wrote it, x can be anything, because it will <u>always</u> be less than 13/4 OR greater than -3/2
Answered by Meme
How would you explain step by step to get the answer?
Answered by Meme
How do you graph this?
Answered by Steve
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.
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