# Wording of a question: Inequalities

• January 18th 2010, 01:34 PM
perjac
Wording of a question: Inequalities
Hi All,

I have an issue with a wording of a question: It says 2 parts:
a) Sketch the graph of y = |2x-1|

This is easy enough but the next part:

b) solve the inequality |2x-1| <= 2 and check your result by examining the graph of y = |2x-1|

I think this means all the real numbers between -1 and 3 but if that is the case, how do you right this as an answer? Number line or descriptive as I just said.

Also am I on the right track?

Thank again for your help guys.

Cheers,

J
• January 18th 2010, 01:41 PM
VonNemo19
Quote:

Originally Posted by perjac
Hi All,

I have an issue with a wording of a question: It says 2 parts:
a) Sketch the graph of y = |2x-1|

This is easy enough but the next part:

b) solve the inequality |2x-1| <= 2 and check your result by examining the graph of y = |2x-1|

I think this means all the real numbers between -1 and 3 but if that is the case, how do you right this as an answer? Number line or descriptive as I just said.

Also am I on the right track?

Thank again for your help guys.

Cheers,

J

Note that $|2x-1|\leq2$ implies that $-2\leq2x-1\leq2$

And, this in turn implies that

$-\frac{1}{2}\leq{x}\leq\frac{3}{2}$