00:01
Right, i'm going to solve the inequality for part a of 104.
00:06
And in order to do that, i am going to multiply both sides of the inequality by the least common denominator, which is 32.
00:16
So multiplying these by 32.
00:18
To just go ahead and clear out the fractions.
00:23
So 32 times negative 3 fourths x, that would be negative 24x.
00:30
And that is greater than negative 21 over 32 times 32, which is just negative 21.
00:39
Then to solve this inequality, i'm going to divide by negative 24 on both sides of the inequality.
00:47
And since i'm dividing by a negative number, that means my sign has to switch.
00:52
So i have negative 21 divided by negative 24.
00:55
Simplified fraction is 7 .8s.
00:58
So that answer would be x is less than 7 .8s.
01:02
So the graph of this, since my answer is less than, that means my arrow is going to go to the left.
01:15
And since it's non -inclusive, it does not have the equal to.
01:19
It is a parentheses, or it could be an open circle with a arrow to the left...