#### Answer

(-9,-5)

#### Work Step by Step

1.) Set what the inequality equals to what it originally equals, and then set it to the opposite of that number with the opposite inequality sign
x+7$\lt$2 and x+7$\gt$-2
2.) Solve the first inequality for x by subtracting 7 from both sides
x+7$\lt$2
-7 -7
x$\lt$-5
3.) Solve the second inequality for x by subtracting 7 from both sides
x+7$\gt$-2
-7 -7
x$\gt$-9
4.) Combine the two inequalities to find the set of values x can equal
(-9,-5)