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Solve the inequality. Graph and check your solution.

1x-9

Short Answer

Expert verified

The solution for the inequality is x10.

Step by step solution

01

Step -1 - Apply the concept of Linear inequalities

In this type of inequality, Simply use the property of addition or subtraction of suitable number on both Left Hand Side & Right Hand Sideto maintain the inequality and also the variable & numbers should be at the different sides in the equation.

02

Step -2 – Find the value of x by solving the inequality

Since, the equality is 1x-9

Here, to simplify this inequality, adding 9 to both side on the above

1x91+9x9+910xx10

03

Step- 3 - Check the expression to verify the inequality

Since, in the expression x10

So, this expression means that the value of x should be smaller than or equal to 10.

So, Put10,9,8,7.......soon in 1x-9 to check whether the inequality hold or not

Put x=10 in inequality,

1x91109111=1

It holds the equation

Again, put x=9 in equality

1x919910

It also holds the inequality.

So, the expression x10 correctly holds the inequality.

Graphical Interpretation

Following is the graph of the expression x10 to get the proper graphical representation to know the points.

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