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Sagot :
Step-by-step explanation:
-3 < 2x+1 <9
-3-1 < 2x < 9-1
-4 < 2x < 8
-2 < x < 4
so, the numbers are between -2 and 4
for Integers : -1, 0, 1, 2, 3
[tex]\large \mathfrak{Solution : }[/tex]
let the number be " x "
The Inequality can be represented as :
- [tex] - 3 < 2x + 1 < 9[/tex]
- [tex] - 3 - 1 < 2x + 1 - 1 < 9 - 1[/tex]
- [tex] - 4 < 2x < 8[/tex]
- [tex] \dfrac{ - 4}{2} < \dfrac{2x}{2} < \dfrac{8}{2} [/tex]
- [tex] - 2 < x < 4[/tex]
therefore the number actually lies between - 2 and 4, so the possible values for the number (if it's an integer) is -1 , 0 , 1 , 2 , and 3 .
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