To solve combined inequalities d - 1 > -3 and d + 2 < 5 .
The 1st inequality
d - 1 > -3 add 1 to both sides, giving
d > -2
The 2nd inequality
d + 2 < 5 subtract two from both sides
d < 3
Our two inequalities now look like this.
d > -2 and d < 3
We can combine these inequalities by getting the inequality symbols both facing in the same direction. i.e.
-2 < d and d < 3
or,
-2 <d,d < 3
i.e. -2 < d < 3
Answer: -2 < d < 3