Chapter 2: Q66. (page 67)

Solve each inequality.
$- 2 < 3 x + 1 < 7$

Short Answer

Expert verified

The value of the given inequality is $(- 1, 2) .$

Step by step solution

Step 1- Given information

An inequality $- 2 < 3 x + 1 < 7$ .

Step 2- To solve the inequality

From the given information,

$\begin{array}{l} - 2 < 3 x + 1 < 7 \\ \Rightarrow - 2 - 1 < 3 x < 7 - 1 \\ \Rightarrow - 3 < 3 x < 6 \\ \Rightarrow \frac{- 3}{3} < x < \frac{6}{3} \\ \Rightarrow - 1 < x < 2 \end{array}$

Step 3- Conclusion

Therefore, the $- 2 < 3 x + 1 < 7 = - 1 < x < 2$ .

Hence, the value of the given inequality is $(- 1, 2) .$

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Solve each inequality.
$- 2 < 3 x + 1 < 7$

Short Answer

Step by step solution

Step 1- Given information

Step 2- To solve the inequality

Step 3- Conclusion

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Solve each inequality.-2<3x+1<7

Short Answer

Step by step solution

Step 1- Given information

Step 2- To solve the inequality

Step 3- Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Decision Maths

Geometry

Calculus

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Solve each inequality.
$- 2 < 3 x + 1 < 7$