Chapter 3: Q35. (page 140)

Solve the inequality. Graph your solution.
$5 + m + 8 \geq 14$

Short Answer

Expert verified

The solution for the inequality is $m \geq 1$ .

Step by step solution

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.

Step -2 – Make the inequality in general format

Since, the inequality is $5 + m + 8 \geq 14$ .

Now,

$\begin{array}{l} 5 + m + 8 \geq 14 \\ m + 13 \geq 14 \end{array}$

Step- 3 – Finding the solution of the inequality

Now, the inequality is $m + 13 \geq 14$ .

To solve the inequality, subtract $13$ to both side of the equation

$\begin{array}{l} m + 13 \geq 14 \\ m + 13 - 13 \geq 14 - 13 \\ m \geq 1 \end{array}$

Graphical Interpretation

Following is the graph of the expression $m \geq 1$ to get the proper graphical representation to know the points.

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Solve the inequality. Graph your solution.
$5 + m + 8 \geq 14$

Short Answer

Step by step solution

Step -1 - Apply the concept of Linear inequalities

Step -2 – Make the inequality in general format

Step- 3 – Finding the solution of the inequality

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Solve the inequality. Graph your solution.5+m+8≥14

Short Answer

Step by step solution

Step -1 - Apply the concept of Linear inequalities

Step -2 – Make the inequality in general format

Step- 3 – Finding the solution of the inequality

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Discrete Mathematics

Decision Maths

Statistics

Calculus

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Solve the inequality. Graph your solution.
$5 + m + 8 \geq 14$