Mary,
The answer is 10>x. This is an algebra problem. Here's how you solve it:
4x+1<2x19
The way to read it is: four x's plus one is smaller than two x's 19. This means many numbers could be x, so the way to figure out if you are correct at the end is to just try a number that should apply, and see if the statement is true.
First step is to add 1 to both sides, like any algebra problem:
4x+11<2x191.........................4x<2x20
If you add 2x to both sides, you can isolate x terms:......4x2x<2x2x20..............2x<20
Divide both by 2 to get x alone: 2x/2<20/2...............x<10
This tells you that x has to be less than negative ten. It can be anything, but must be less than 10
try 12, and see if it works
4(12)+1<2(12)19..............47<43 negative 47 is less than 43. this is true, so the statement is true. try any other number and it will work too .
Hope this helps you! Good luck!
11/7/2013

Eric C.
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