Question

I need help solving these inequalities

1.) 3 ≤ w + 2 ≤ 7
2.) 12 < 14 + 17 + a ≤ 16
                3

Answer 1

3 < = w + 2 < = 7.....subtract 2 from all parts
3 - 2 < = w + 2 - 2 < = 7 - 2....simplify
1 < = w < = 5 .....this is ur answer

12 < (14 + 17 + a) / 3 < = 16....multiply all parts by 3
12 * 3 < 3 *(14 + 17 + a) / 3 < = 16 * 3...simplify
36 < 14 + 17 + a < = 48
36 < 31 + a < = 48...subtract 31
36 - 31 < 31 - 31 + a < = 48 - 31
5 < a < = 17 <==== ur answer