00:05
We're given the inequality 2x minus 3 is less than 7.
00:11
And then they asked us which values for x that they gave us are solutions.
00:17
Well, a solution is any number that we substitute in for the variable, and it makes the problem true.
00:24
So in part a, we are given x equals zero, and we want to see if that is a solution to this inequality.
00:31
So we substitute 0 in for x.
00:35
So we have 2 times 0 minus 3.
00:38
And the question is, is that less than 7? following the order of operations, we multiply first.
00:45
2 times 0 is 0.
00:47
0 minus 3 is negative 3, and that is less than 7.
00:53
So x equals 0 is a solution, this inequality.
01:03
In part b, we are given the value of x equals 5.
01:08
So we again substitute 5 in for x, like we did 0 in the last part...