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Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset Vaia Explanations$ Math

Common Core Edition · 183 pages

ISBN: 9780547587776

Chapter 3: Q .19CT (page 160)

Solve the inequality. Graph your solution.
$4 (2 - d) \geq - 12$

Short Answer

Expert verified

The solution for the inequality is $d \geq 5$ .

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 c by solving the inequality

Since, the equality is $4 (2 - d) \geq - 12$ .

Here, to simplify this inequality, open the bracket and subtract $8$ to both side on the above

$\begin{array}{l} 4 (2 - d) \geq - 12 \\ 8 - 4 d \geq - 12 \\ 8 - 4 d - 8 \geq - 12 - 8 \\ - 4 d \geq - 20 \\ d \geq \frac{20}{4} \\ d \geq 5 \end{array}$

Graphical Interpretation

Following is the graph of the expression $d \geq 5$ to get the proper graphical representation to know the points.

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Solve the inequality. Graph your solution.

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