Question

a)9+2×>5 (×-3)
b)7×-5<×+6
c)×+7 <10
d)10×<30
e)2-×<×+8
f)12×<4×+5
g)4 (×+5)<3×+10​

Answer 1

a)9+2×>5 (×-3)

9 + 2x > 5x - 15

2x - 5x > - 15 - 9

- 3x > - 24 (-1)

3x < 24

x < 24/3

x< 8

b)7×- 5<×+6

7x - x < 6 + 5

6x < 11

x< 11/6

c)×+7 <10

x < 10 - 7

x< 3

d)10×<30

x < 30/10

x < 3

e)2-×<×+8

- x - x < 8 - 2

- 2x < 6 (-1)

2x > - 6

x > -6/2

x> - 3

f)12× < 4× + 5

12x - 4x < 5

8x < 5

x < 5/8

g)4 (×+5)<3×+10

4x + 20 < 3x + 10

4x - 3x < 10 - 20

x < - 10