Graph the following expression: |x+5|= 2

Question

Graph the following expression:

|x+5| >= 2

OA:  x<=-7 OR x>=-3

bagrettin · Answer

May be this will give you some help, but I do not know what we could say here beside usual two-part absolute value distinction:
x+5>=0 -> x+5>=2
x5>-5 -> x>=-3
Overall x>=-3

x+5<0 -> -x-5>=2
x<-5 -> x<=-7
Overall x<=-7

Finally, x<=-7 and x>=-3

KarishmaB · Answer

Please check my signature for the link to the relevant blog posts.
Get back if there are doubts.

garimavyas · Answer

karishma is always so helpful , if i get my desired score , you will be an important factor ty.

jamifahad · Answer

Here you go.

Fluke, is this correct?

Thanks.

fluke · Answer

This graph is not correct. Please give it another shot.

amit2k9 · Answer

points are -7 and -3.

-4,-5 gives values LHS < RHS.

Hence x<-7 and x >-3

fluke · Answer

The graph is correct(perfect) but the selected region is still not correct.

ydmuley · Answer

Where did you get the y from? I don't see it in the question!

In case you have to assume the equation is for "y" on what basis did you apply the "=<" sign?

VeritasPrepKarishma  - Could you please help on this. I did check your post and indeed it was the best, however, I am confused on the "y" part of the equation.

KarishmaB · Answer

A graph has x and y axis. How do you plot an expression such as |x + 5| on the graph?

You find the value of the expression for each value of x. This value of the expression is the value of y.

y = f(x) = |x + 5|

When x = 0, y = |0 + 5| = 5

So we say that point (0, 5) lies on the graph.

In this question, we need the values of x for which |x + 5| >= 2.
So you can plot |x + 5| and find the points where it is >= 2 i.e. where y >= 2.

Alternatively, you can manipulate the expression to get |x + 5| - 2 >= 0 where y = |x + 5| - 2 and plot that. Now, you need to look for values of x for which y >= 0.

Hope this all makes sense now.

ydmuley · Answer

Hi  VeritasPrepKarishma ,

Thanks for the explanation, i know it was a basic or dumb question, but though to clear the doubt anyways.

I will remember it going forward. Once again appreciate your help.

Regards

Graph the following expression: |x+5|>= 2

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions