+0  
 
0
38
1
avatar+1348 

Find all values of $x$ which do not satisfy $$1 \le 4-3x+5x < 10-8x.$$ Express your answer in interval notation.

 Oct 12, 2023
 #1
avatar+129732 
+1

Simplify as

 

1 ≤ 4 + 2x < 10 - 8x

 

Splitting the inequalities, the x's that make this true are

 

1 ≤ 4 + 2x                4 + 2x   < 10 - 8x

-3 ≤ 2x                      10x < 6

-3/2 ≤ x                        x < 6/10

                                    x < 3/5

 

So the intervals that DO NOT make this true are

 

(-inf, -3/2) U [3/5 , inf)

 

 

cool cool cool

 Oct 13, 2023

5 Online Users

avatar
avatar
avatar