Q.9 Use the sign of >, < or = in the box to make the statements true.
(a) (-8) +(-4) \(\square \) (-8)-(-4)
(b) (-3) + 7 – (19) \(\square \) 15 – 8 + (-9)
(c) 23 – 41 + 11 \(\square \) 23 – 41 – 11
(d) 39 + (-24) – (15) \(\square \) 36 + (-52) – (-36)
(e) -231 + 79 + 51 \(\square \)-399 + 159 + 81

(a) (-8) + (-4) [ ] (-8) – (-4)
LHS = (-8) + (-4) = -8 – 4 = – 12
RHS = (-8) – (-4) = -8 + 4 = -4
Here – 12 < -4
Hence, (-8) + (-4) [<] (-8) – (-4)

(b) (-3) + 7 – (19) [ ] 15 – 8 + (-9)
LHS = (-3) + 7 – (19) =-3 + 7-19
= -3 – 19 + 7 = -22 + 1 = -15
RHS = 15 – 8 + (-9) = 15-8-9
= 15 – 17 = -2
Here -15 < -2
Hence, (-3) + 7 – (19) [<] 15 – 8 + (-9)

(c) 23 – 41 + 11 [ ] 23 – 41 – 11
LHS = 23 – 41 + 11 = 23 + 11 – 41 = 34 – 41 = -7
RHS = 23 – 41 – 11 = 23 – 52 = -29 Here, -7 > -29
Hence, 23 – 41 + 11 [>] 23 – 41 – 11

(d) 39 + (-24) – (15) [ ] 36 + (-52) – (-36)
LHS = 39 + (-24) – (15)
= 39 – 24 – 15 = 39 – 39 = 0
RHS = 36 + (-52) – (-36) = 36 – 52 + 36
= 36 + 36 – 52 = 72 – 52 = 20
Here 0 < 20
Hence, 39 + (-24) – (15) [<] 36 + (-52) – (-36)

(e) -231 + 79 + 51 [ ] -399 + 159 + 81
LHS = -231 + 79 + 51 = -231 + 130 = -101
RHS = -399 + 159 + 81 = -399 + 240 = -159
Here, -101 > -159
Hence, -231 + 79 + 51 [>] -399 + 159 + 81