Problem Solving

Which of the following inequalities is an algebric expression for the shaded part of the number line?

FIGURE DESCRIPTION: Shaded part is the part on number line from -5 to 3 inclusive

(A) |X| LESS THAN OR EQUAL TO 3

(B) |X| LESS THAN OR EQUAL TO 5

(C) |X-2| LESS THAN OR EQUAL TO 3

(D) |X-1| LESS THAN OR EQUAL TO 3

(E) |X+1| LESS THAN OR EQUAL TO 4

SOURCE OG-12 (#130)

What is asked exactly here?

---------- -5 ----------------- x -------------- 3 -----------------


The question is asking which inequality expresses the region

-5<= x <= 3

|x+1| <= 4
x+1 <= 4 and -x-1 <= 4
x<=3 and x >= -5
-5<= x <= 3

E

HI )

Would you be so kind to explain this ex.:

How many integers n greater then 10 and less then 100 are there such that, the resulting integer is n-9?
A 5
B 6
&#1057; 7
D 8
E 9

Oh!!
So we just need to remove absolute sign and find two values of x that defines endpoints of shaded line.
Never faced this kind of question before, was confused by language
Thanks

Oh!!
So we just need to remove absolute sign and find two values of x that defines endpoints of shaded line.
Never faced this kind of question before, was confused by language
Thanks