true or false question. Inequalities solve just like equations.

Question

inequalities solve out like equations. True or False?

Answer 1

False.

although they are very similar

solve the inequality as if it were an equation and you find the interval endpoints.

then the additional problem in an inequality is figuring out which of the intervals is the solution(s).

take an example:

x^2 > 9

solve x^2 = 9 to get x = + or -sqr9 = +3 and -3

that means intervals of - infinity to -3, -3 to +3 and +3 to + infinity

which intervals are the solutions to the inequality?

x<-3 and x>+3

(-inf,-3) U (+3, +inf)