algebra
posted by TEXAS BILL on .
define a variable, write an iquality, and solve the problem below. then check your solution.
"seven minus two times a number is less than three times the number plus thirtytwo"
72*x<3x+32 is this right so far? what goes next?

Yes, you are right so far.
7  2x < 3x + 32
Treat it like a regular equation question.
Combine like terms and solve for x.
7  32 = 2x + 3x
25 = 5x
25/5 = x
5 = x
Checking:
7  2x < 3x + 32
7  2(5) < 3(5) + 32
7 + 10 < 15 + 32
17 < 17....This is not true.
What does this mean? It means that there are no solutions to this inequality.