Question

(ii) 14.0-51-2. (ii) 3 - ..
1. Solve for x:
(i) 13 - x < 7.
(iv) |x| -10 < -3.
2. Solve
|2x-11
1
< 6 and express the solution using the interval notation.
3. Solve -3|1| +55 -2 and graph the solution set in a number line.
4. Solve 2 x + 11 - 6 5 7 and graph the solution set in a number line.
5. Solve 10x - 21 < 1.
6. Solve 15.3 - 12< -2.​

Answer 1

Answer:

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.