Question

What are the similarities and differences between solving the equation, -3x + 2 = 11 and the inequality, -3x + 2 < 11? (Site 1) someone hurry im takin a SAT and i need the answer.

Answer 1

-3x + 2 = 11 is an equation and it has only one solution.
i.e. -3x= 11-2
i.e. -3x=9
x= 9/(-3)
x=-3

Whereas -3x + 2 < 11 is an inequality and its solution will be
-3x + 2 < 11
i.e. -3x < 11-2
i.e. -3x<9
i.e. x<9/(-3)
i.e. x<-3
so it is obvious from th above solution that the solution of this inequality will all the numbers which are less than -3
i.e. x={.....-6, -5, -4}

Answer 2

So an inequality has infinitely many solutions.

Answer 3

@shonedell

Answer 4

thanks

Answer 5

How do you solve the inequality 12 < x + 5 so that the variable "x" is on the left side? (Site 2) help me with this one @dpasingh

Answer 6

Ok wait

Answer 7

12 < x + 5
i.e. 12-5<x
i.e. 7<x
i.e. x>7

Answer 8

@shonedell

Answer 9

in words

Answer 10

@dpasingh