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Chapter 3: Q58. (page 146)

Solve the inequality. Graph your solution.

x-14<29

Short Answer

Expert verified

The solution for the inequality is x<43.

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 x-14<29.

Here, to simplify this inequality, adding 14to both side on the above

x−14<29x−14+14<29+14x<43

Graphical Interpretation

Following is the graph of the expression x<43 to get the proper graphical representation to know the points.

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