Question

6. The solution set representing the 1 point following number line is V -2 -1 0 1 2 3 4 5 6 O {X:XER,-2 < x < 4} OX:XER-25 x < 4} O {X:XER,-2< x < 4} O (X:XER,-2 sxs 4}​

Answer 1

Step-by-step explanation:

Given: −

3

x

≤

2

x

−1

3

1

<

6

1

Taking L.C.M. of 3,2 and 6 is 6.

−

3

x

×6≤

2

x

×6−

3

4

×6<

6

1

×6

−2x≤3x−8<1

⇒−2x≤3x−8 and 3x−8<1

⇒8≤3x+2x ⇒3x<1+8

⇒8≤5x ⇒3x<9

⇒

5

8

≤x ⇒x<3