Question

PLEASE HELP ONE QUESTION WILL MEDAL AND FAN!

Answer 1

Solve and graph the absolute value inequality: |2x + 1| ≤ 5.

number line with closed dots on negative 3 and 2 with shading going in the opposite directions.
number line with closed dots on negative 3 and 2 with shading in between.
number line with open dots on negative 3 and 2 with shading in between.
number line with closed dots on negative 2 and 2 with shading in between.

Answer 2

Hint:

|ax + b| ≤ c is equivalent to -c ≤ ax + b ≤ c

Answer 3

What????? So confused. Could you explain better?

Answer 4

In order to properly graph the absolute value inequality, you must first solve for x. The hint I gave you shows a mathematical statement equivalent to the given statement that allows you to solve for x, which in turn, will enable you to properly graph the inequality.

Answer 5

ok, so |2x + 1| ≤ 5. First, would i subtract one from each side?

Answer 6

Set up two equations
We know 2x+1≤5 and 2x+1≥−5

Solve for each
\[\huge~2x+1≤5 \]
\[\huge~2x+1≥−5\]

Answer 7

OK

Answer 8

2x+1<5
-1 -1
2x <4
/2 /2
x<2? for the first one?

Answer 9

2x+1>5
-1 -1
2x > 4
/2 /2
x>2 for the second one as well?

Answer 10

No.

Answer 11

It's much easier to solve it as just one compound inequality:

-5 ≤ 2x + 1 ≤ 5

Subtract one from each side, then divide each side by two.

Answer 12

-6<2x<4?

Answer 13

with the line underneath the signs

Answer 14

-6 ≤ 2x ≤ 4

Then divide each side by 2.

Answer 15

-3 <x<2

Answer 16

with lines underneath

Answer 17

-3 ≤ x ≤ 2

Answer 18

The inequality basically states that the solution, x, exists between -3 and 2 (inclusive)

Answer 19

so B?

Answer 20

Correct.

Answer 21

thank you so much!

Answer 22

You're welcome.