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Chapter 2: Q63. (page 62)

Solve each inequality.

y+1<7

Short Answer

Expert verified

The required solution of the given inequality is -8<y<6 or -8,6.

Step by step solution

01

– Properties of inequality.

In an absolute inequality, if x<a, then -a<x<a.

According to the subtraction property of inequality, if a<b, then a-c<b-c, where a,b,c are real values.

02

– Given information.

The given inequality is:

y+1<7

03

– Use the properties of inequality to solve the given inequality.

y+1<7

It is an absolute inequality and it can be written as:

-7<y+1<7

Subtract 1from each side of the above inequality.

鈭�7鈭�1<y+1鈭�1<7鈭�1鈭�8<y<6

The value of y lies between -8 and 6, where -8 and 6 are excluded.

Thus, the required solution of the given inequality is -8<y<6 or -8,6.

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