SOLUTION: I have a problem with inequalities on a number line, write each solution as a single inequality involving absolute value which gives all possible values for the variable. A.) Va

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Question 1121809: I have a problem with inequalities on a number line, write each solution as a single inequality involving absolute value which gives all possible values for the variable.
A.) Variable is b
Left to right on the number line, In brackets, the first point it 2.9, the middle point is 4.1, and the last point with closing brackets is 5.3.
Visually it looks like below:
<—— [—————|—————]——>
....... 2.9 .......... 4.1 .......... 5.3 ......
I’m not sure what to be looking for here and I had another exercise with the answer (not needed to be solved just showing as an example)
The previous example was like this but with the line:
<—— [—————|—————]——>
...... -3 ........ -2.6 ........ -2.2 .....
With the variable b and the answer was = | b+2.6 | less than or equal to 0.4

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
The distance between two points (numbers), a and b, on a number line is |a-b|

In the example you provided, +abs%28+b+-+%28-2.6%29+%29++%3C=+0.4+ —> +abs%28b%2B2.6%29+%3C=+0.4+

In the problem you posted, +highlight%28++abs%28b+-+4.1%29+%3C=+1.2+%29+

Also, notice that [ ] indicates "includes endpoint(s)" (also known as a closed interval) and
( ) indicates "does not include endpoint(s)" (also known as an open interval)
and if you see one of each, that indicates a half-open interval.