Chapter 2: Q24. (page 110)

Solve $|6 m - 3| = 9$
F. $\{2\}$
H. $\{- 3, 6\}$
G. $\{- 1, 2\}$
J. $\{- 3, 3\}$

Short Answer

Expert verified

Option (G) is the correct.

Step by step solution

Step 1. Given equation.

$|6 m - 3| = 9$

Step 2. absolute value.

Absolute value is written as:

$|x| = \{\begin{cases} x; if x \geq 0 \\ - x; if x < 0 \end{cases}$

Step 3. Description of step.

To find the value of m, solve the equation by simplifying the absolute value in $|6 m - 3| = 9$ , as

$|6 m - 3| = 9 6 m - 3 = 9 and 6 m - 3 = - 9 \Rightarrow 6 m = 9 + 3 and 6 m = - 9 + 3 \Rightarrow 6 m = 12 and 6 m = - 6 \Rightarrow m = 2 and m = - 1 \Rightarrow m = \{- 1, 2\}$

Thus, option (G) is the correct.

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Solve $|6 m - 3| = 9$
F. $\{2\}$
H. $\{- 3, 6\}$
G. $\{- 1, 2\}$
J. $\{- 3, 3\}$

Short Answer

Step by step solution

Step 1. Given equation.

Step 2. absolute value.

Step 3. Description of step.

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Solve 6m−3=9F. 2H. -3,6G. -1,2J. -3,3

Short Answer

Step by step solution

Step 1. Given equation.

Step 2. absolute value.

Step 3. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Logic and Functions

Pure Maths

Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Solve $|6 m - 3| = 9$
F. $\{2\}$
H. $\{- 3, 6\}$
G. $\{- 1, 2\}$
J. $\{- 3, 3\}$