Question

I need help with the attached problem please.

Answer 1

lets begin with 13-4x<16
subtract 13 from both sides

Answer 2

You get: -4x<3

Answer 3

good,now divide by -4
remember to flip the sign,as u are dividing by a negative number
so < becomes >

Answer 4

You get: x>-3/4

Answer 5

thats your 1st part
13-4x>= -10
again subtract 13 from both sides

Answer 6

You get: -4x>-23

Answer 7

ok,don't forget = sign also
now divide by -4 and flip sign

Answer 8

You get: x< = 23/4

Answer 9

now can u put the two thing together in interval notation ?

Answer 10

Like this:

First Part:
X >-3/4

Second Part:
x< = 23/4


Interval Notation:
-3/4 < x < 23/4

Answer 11

let me give example:
2<=x<6
[2,6)

Answer 12

So... is it: [-3/4, 23/4) ?

Answer 13

so, -3/4<x<=23/4
will give u
(-3/4,23/4]

Answer 14

as = part is with 23/4,u have ] bracket with 23/4

Answer 15

got that?

Answer 16

Okay I got it. I put the bracket for -3/4 before. That's where I went wrong.