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Split the compound inequality into two separate inequalities.
Solution Set: 1.7≤ y<12.5
Graph:
and.-9.5<3-y and 3-y≤1.3
Let's solve the inequalities separately.
Note that the point on 1.7 is closed because it is included in the solution set.
LHS-3
Divide by -1 and flip inequality sign
Rearrange inequality
Note that the point on 12.5 is open because it is not included in the solution set.
The solution set to the compound inequality is the intersection of the solution sets. To help visualize the algebraic expression, we will write y≥ 1.7 as 1.7 ≤ y. First Solution Set: 1.7≤ y& Second Solution Set: y&< 12.5 Intersecting Solution Set: 1.7≤ y& < 12.5 Finally, we will graph the solution set to the compound inequality on a number line.