SOLUTION: can you help me with this one please? Solve the inequality. Give the result in interval notation. 4x + 6 < 10 or 2x &#8722; 9 > 5

Algebra ->  Inequalities -> SOLUTION: can you help me with this one please? Solve the inequality. Give the result in interval notation. 4x + 6 < 10 or 2x &#8722; 9 > 5      Log On


   

Question 265535: can you help me with this one please?
Solve the inequality. Give the result in interval notation.
4x + 6 < 10 or 2x − 9 > 5
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
you have 2 equations:

4x + 6 < 10 is the first equation.

subtract 6 from both sides of this equation to get:

4x < 4

divide both sides of this equation by 4 to get:

x < 1

2x-9 > 5 is the second equation.

add 9 to both sides of this equation to get:

2x > 14

divide both sides of this equation by 2 to get:

x > 7

your answers are:

x < 1 or x > 7

this can be written as:

(x<1) union (x>7)

in interval notation, it would probably look like this:

(-infinity,1) union (7,infinity).

here's a reference for interval notation.

http://id.mind.net/~zona/mmts/miscellaneousMath/intervalNotation/intervalNotation.html