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Chapter 3: Q2. (page 145)

Solve the inequality. Graph your solution.

t-4鈮�8.

Short Answer

Expert verified

The solution for the inequality is t鈮�-32.

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 or multiplication 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 t by solving the inequality

Since, the equality is t-4鈮�8.

Here, to simplify this inequality, multiply -4to both side on the above

t鈭�4鈮�8t鈭�4脳鈭�4鈮�8脳鈭�4t鈮�鈭�32

Graphical Interpretation

Following is the graph of the expression t鈮�-32 to get the proper graphical representation to know the points.

The value of t is smaller than or equal to -32 having closed interval at -32.

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