Chapter 3: Q.8 (page 164)

The solution of the inequality $a x - 2 < - 4$ is $x < - 1$ . Find the value of a.

Short Answer

Expert verified

The value of a is $a > 2$ .

Step by step solution

Step 1. Apply the concept of Linear inequalities

In this type of question, apply the concept of basic linear inequalities to get the equivalent by multiplying the number or dividing the numbers and also using the reverse inequality concept.

Step 2. Finding whether it is equivalent or not

Since, the expression is $a x - 2 < - 4$ .

Now, simply adding $- 2$ to both side of the inequality and also use the reverse inequality concept and also put

$\begin{array}{l} a x - 2 < - 4 \\ a x - 2 + 2 < - 4 + 2 \\ a x < - 2 \\ a (- 1) < - 2 (x < - 1) \\ \frac{- a}{- 1} < \frac{- 2}{- 1} \\ a > 2 \end{array}$

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The solution of the inequality $a x - 2 < - 4$ is $x < - 1$ . Find the value of a.

Short Answer

Step by step solution

Step 1. Apply the concept of Linear inequalities

Step 2. Finding whether it is equivalent or not

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The solution of the inequality ax-2<-4 is x<-1 . Find the value of a.

Short Answer

Step by step solution

Step 1. Apply the concept of Linear inequalities

Step 2. Finding whether it is equivalent or not

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Statistics

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Study anywhere. Anytime. Across all devices.

The solution of the inequality $a x - 2 < - 4$ is $x < - 1$ . Find the value of a.