Question

a) Find the values of x, which satisfy the inequation
2x
A
S2, Graph the solution on a number line.
[3]
3​

Answer 1

Answer:

Given: −2

6

5

<

2

1

−

3

2x

≤2

⇒−

6

17

<

6

3−4x

≤2

Multiplying throughout by 6

⇒−17<3−4x≤12

−17<3−4x and 3−4x≤12

⇒4x<3+17 ⇒3−12≤4x

⇒4x<20 ⇒−9≤4x

⇒x<5 ⇒−

4

9

<x

{5>x≥

4

−9

}

Hence, the solution set is {x:x∈W,−

4

9

≤x<5}

Since x is a whole number,

∴ Values of x are {0,1,2,3,4}