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Solve (x +1 <4) n (X-8 >-7).
O x11 O {XIX<3 or x> 1}
O (all real numbers)

User Samik R
by
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1 Answer

1 vote

Answer:


1<x<3

Explanation:

Given


(x +1 <4)\ n\ (X-8 >-7)

Required

Solve

To start with, we need to solve the inequalities as separate entities


(x +1 <4)\ n\ (X-8 >-7)


x +1 <4

Subtract 1 from both sides


x +1 -1 <4 -1


x <4 -1


x<3


x-8 >-7

Add 8 t both sides


x-8+8 >-7+8


x >-7+8


x >1


(x +1 <4)\ n\ (X-8 >-7) becomes


x < 3\ n\ x>1

This means that x is less than 3 and greater than 1;

In other words, x is 2

The expression
x < 3\ n\ x>1 can be rewritten as


x < 3\ n\ 1<x

Combining these results; we have


1<x<3

User Zerovector
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7.3k points