The compound inequalities can be written as follows
1) x ≥ −4 and x ≤ 7 or −4 ≤ x ≤ 7 2) x ≤−4 or x ≥ 3
3) x ≤ -3 and x > 1 4) x > -4 and x < 3 or −4 < x <3
5) −3 < a <2 6) 0 < y ≤ 3 7) −1 < d ≤ 5 8) −9 ≤ r < 1
9) −3 ≤ a < 2 10) −0.5 < b ≤ 3
How do we solve each compound inequality?
5.-2<a + 1<3
−2−1 < a < 3−1
−3 < a <2
6.-2<y-2≤1
−2+2 < y ≤ 1+2
0 < y ≤ 3
7. -4<-3+ d ≤2
−4+3 < d ≤ 2+3
−1 < d ≤ 5
8. -6≤3+r<4
−6−3≤r<4−3
−9 ≤ r < 1
9. -2≤2a+4<8
−2−4 ≤ 2a < 8−4
−6 ≤ 2a < 4
−3 ≤ a < 2
10.-2<2b-1≤5
−2+1 < 2b ≤ 5+1
−1 < 2b ≤ 6
−0.5 < b ≤ 3