Answer:
0, 1 and 2
Step-by-step explanation:
- 1 < x ≤ 2
has solutions x = 0, 1, 2
- 2 ≤ x < 3
has solutions x = - 2, - 1, 0, 1, 2
Thus the values of x that satisfy both are x = 0, 1, 2
Inequalities are used to represent unequal expressions.
The integer values satisfy both inequalities are 0, 1 and 2
The inequalities are given as:
[tex]\mathbf{-1 < x \le 2}[/tex] and [tex]\mathbf{-2 \le x < 3}[/tex]
First, we list out the elements of both inequalities
[tex]\mathbf{-1 < x \le 2}[/tex]
[tex]\mathbf{x = 0,1,2}[/tex]
[tex]\mathbf{-2 \le x < 3}[/tex]
[tex]\mathbf{x = -2 ,-1, 0, 1,2}[/tex]
0, 1 and 2 are common integers between both inequalities
Hence, the integer values satisfy both inequalities are 0, 1 and 2
Read more about inequalities at:
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