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Chapter 3: Q.8 (page 164)

The solution of the inequality ax-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

01

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.

02

Step 2.  Finding whether it is equivalent or not

Since, the expression is ax-2<-4.

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

ax鈭�2<鈭�4ax鈭�2+2<鈭�4+2ax<鈭�2a(鈭�1)<鈭�2鈥冣赌�(x<鈭�1)鈭�a鈭�1<鈭�2鈭�1a>2

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