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Chapter 3: Q .27CR (page 159)

Solve the inequality. Graph your solution.

24≥5z−6

Short Answer

Expert verified

The solution for the inequality is z≤6.

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 Side to maintain the inequality and also the variable & numbers should be at the different sides in the equation.

02

Step 2.  Find the value of z by solving the inequality

Since, the equality is 24≥5z-6.

Here, to simplify this inequality, adding 6to both side on the above and then divide 5to both side of the equation.

24≥5z−624+6≥5z−6+630≥5z305≥5z56≥zz≤6

Graphical Interpretation

Following is the graph of the expression z≤6 to get the proper graphical representation to know the points.

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