[tex]-4<s<4[/tex]
So, value of s is between -4 and 4, while both -4 and 4 are not included.
Step-by-step explanation:
We need to find the number line that shows the solution set for Absolute Value s/2 less-than 2.
Writing in mathematical form:
[tex]|\frac{s}{2}|<2[/tex]
Applying absolute rule: |u|<a then -a < u < a
[tex]-2<\frac{s}{2}<2[/tex]
Simplifying:
[tex]\frac{s}{2}>-2 and \frac{s}{2}<2[/tex]
[tex]s>-4 and s<4[/tex]
Combining the intervals we get:
[tex]-4<s<4[/tex]
So, value of s is between -4 and 4, while both -4 and 4 are not included.
The number line is shown in figure attached.
Keywords: Solving inequalities
Learn more about Solving inequalities at:
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brainly.com/question/11788572
- brainly.com/question/4192226
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