Solve the inequalities in exercieses 17 to 20 and show the graph of the solution in each case on number line.
3x-2 < 2x +1
Here 3x-2 < 2x +1
⇒3x−2x<1+2⇒x<3
The solution set is (−∞,3).
The representation of the solution set on the number line is
x2≥(5x−2)3−(7x−3)5
Solve the inequalities in Exercieses 7 to 10 and represent the solution graphically on number line:
3x-7 > 2(x-6),6-x > 11 -2x
2(x-1)< x+5, 3(x+2)>2-x
5(2x−7)−3(2x+3)≤0,2x+19≤6x+47