Chapter 3: Q.4 (page 161)

Which is the solution of the inequality $\frac{z}{- 4} + 3 < 15$ ?
F. $z < - 48$
G. $z < - 3$
H. $z > - 48$
I. $z > - 3$

Short Answer

Expert verified

The correct equation is option H.

Step by step solution

Step 1. Apply the concept of Linear Inequalities

In this, use the concept of solving the linear inequalities by doing mathematical operations.

Step 2. Finding the correct solution

Here,

The expression is $\frac{z}{- 4} + 3 < 15$ .

Simply subtract $- 3$ to both side of the equation and then multiply both side $- 4$ to both side and use the reverse inequality.

$\begin{array}{l} \frac{z}{- 4} + 3 < 15 \\ \frac{z}{- 4} + 3 - 3 < 15 - 3 \\ \frac{z}{- 4} < 12 \\ \frac{z}{- 4} \times - 4 < 12 \times - 4 \\ z > - 48 \end{array}$

Step 3. Eliminating the options to get correct one

F. $z < - 48$ :It is not the correct option because the correct solution is $z > - 48$ .

G. $z < - 3$ : It is not the correct option because the correct solution is $z > - 48$ .

H. $z > - 48$ : It is the correct option because the correct solution is $z > - 48$ .

I. $z > - 3$ : It is not the correct option because the correct solution is $z > - 48$ .

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Which is the solution of the inequality $\frac{z}{- 4} + 3 < 15$ ?
F. $z < - 48$
G. $z < - 3$
H. $z > - 48$
I. $z > - 3$

Short Answer

Step by step solution

Step 1. Apply the concept of Linear Inequalities

Step 2. Finding the correct solution

Step 3. Eliminating the options to get correct one

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Which is the solution of the inequality z-4+3<15 ?F. z<-48G. z<-3H. z>-48I. z>-3

Short Answer

Step by step solution

Step 1. Apply the concept of Linear Inequalities

Step 2. Finding the correct solution

Step 3. Eliminating the options to get correct one

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Calculus

Applied Mathematics

Discrete Mathematics

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Which is the solution of the inequality $\frac{z}{- 4} + 3 < 15$ ?
F. $z < - 48$
G. $z < - 3$
H. $z > - 48$
I. $z > - 3$