Answer:
Explanation:
To determine which inequality (or inequalities) contains the set {-1.7, -0.8, 0.5, 1.25}, we can plug in each of these values into each of the inequalities and see which ones are true.
For example, if we plug in -1.7 into each of the inequalities, we get:
-1.7 < 2
-1.7 > -3
-1.7 + 2 > 0
-1.7 - 2 < 0
Out of these four inequalities, only the second one (-1.7 > -3) is true.
Similarly, if we plug in the other values, we get:
-0.8 < 2
-0.8 > -3
-0.8 + 2 > 0
-0.8 - 2 < 0
0.5 < 2
0.5 > -3
0.5 + 2 > 0
0.5 - 2 < 0
1.25 < 2
1.25 > -3
1.25 + 2 > 0
1.25 - 2 < 0
From this, we see that all four values are greater than -3 and less than 2, so the set {-1.7, -0.8, 0.5, 1.25} is included in the solution set to the inequality -3 < x < 2.
Therefore, the answer is: -3 < x < 2.