Solve the inequality 2x – 5 > 9 and Graph the solution set.

Question

Solve the linear inequalities 2x – 5> 9 and how to graph the solution set.

Answer 1

Given inequality 2x-5 > 9

Draw the coordinate plane.

Graph the line 2x-5 = 9.

To fnd which region is shading, substitute the origin in inequality.

-5 > 9

Above statement is false.Then shade the with out containing origin region.

Shading region is solution set of inequality.

The boundary of the graph 2x-5 > 9 is dotted in fuchsia colour is not included the solution.

Comments

The inequality is 2x - 5 > 9

2x  > 14

Solution is x  > 7.

Answer 2

The linear inequality is 2x - 5 >9.

2x > 9 + 5

2x > 14

x > 14/2

x > 7.

The solution set is {x | x > 7}.

Graph the solution set on a number line :

Note : A circle means that this point (7) is not included in the solution set.