Question

. Solve the following inequations

(a) x - 6 < 4, x ∈ W

(b) x + 4 ≤ 8, x ∈ N

(c) 9x - 6 ≥ 12, x ∈ N

(d) -5 < x < 5, x ∈ I

(e) 6x + 2 ≤ 20, x ∈ W

(f) 7x + 2 < -12, x ∈ I

(g) x - 10 > -1, x ∈ I

(h) -2 ≤ x ≤ 2, x ∈ I​

Answer 1

Answer:

a) 

5(3−x)−2(4−3x)=11−2(x−1)

15−5x−8+6x=11−2x+2

7+x=13−2x

x+2x=13−7

3x=6

x=2

b)

6−4(x+3)=2(x−1)

6−4x−12=2x−2

−4x−6=2x−2

−4x−2x=−2+6

−6x=4

x=6−4

x=−2/3

c)

5(1−2x)+2(3−x)=3(x+4)+14

5−10x+6−2x=3x+12+14

−12x+11=3x+26

−12x−3x=26−11

−15x=15

x=−1