#1. 5(3x-4)-10x<4(2x-1)-16 ? And #2. -4<2b-6<8 ?

Question

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Answer 1

Sofia,

 

For 1.

 

5(3x-4) -10x < 4(2x-1) -16

 

Simplify

5*3x -5*4 -10x < 4*2x -4*1 -16

15x -10x -20 < 8x -4 -16

5x -20 < 8x -20

 

Add 20 to both sides

5x<8x

 

Subtract 5x from both sides

0<3x

or 3x> 0 

x > 0

 

For second equation

 

-4<2b-6<8

 

So -4< 2b-6

Add 6 to both sides

2<2b

Divide by 2

1<b

 

Also 2b-6 < 8

2b<14

b <7

 

Combining both we get 1<b<7

 

b is between 1 and 7