SOLUTION: Linear Inequalities Solve for x 1. 3(x+1)< 18 2. x+7- 8x -9> 3(x-7) 3. Whats the different between Linear equation and Linear inequalities

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Question 152221: Linear Inequalities Solve for x
1. 3(x+1)< 18
2. x+7- 8x -9> 3(x-7)
3. Whats the different between Linear equation and Linear inequalities
Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
1. 3(x+1)< 18
Answer:
3x+3<18
3x<15
x<15/3=5
Set of solutions: S={x/x<5}
2. x+7- 8x -9> 3(x-7)
Answer:
-7x-2>3x-21
-10x>-19
10x<19
x<1.9
Set of solutions: S={x/x<1.9}

3. Whats the different between Linear equation and Linear inequalities

equations always have an = sign
example: x+3=5 (solution is x=2)
Inequalities always have an < or > or <= or >=
and if exists a solution is a set of numbers
example: solve x+3<5
x<2 solution set is S={x/x<2}