SOLUTION: Solve and graph. 4x-10<= 18 and 2x-1>=13 I already solved both equations and both came up with x<=7 (for the first equation) and x>=7 (for second equation). But I don't know

Algebra ->  Graphs -> SOLUTION: Solve and graph. 4x-10<= 18 and 2x-1>=13 I already solved both equations and both came up with x<=7 (for the first equation) and x>=7 (for second equation). But I don't know       Log On


   

Question 1110052: Solve and graph.
4x-10<= 18 and 2x-1>=13

I already solved both equations and both came up with x<=7 (for the first equation) and x>=7 (for second equation). But I don't know how you would graph that or how the interval should be written. Should it be written as {7} or should it have the infinity symbols?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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Solve and graph.
4x-10<= 18 and 2x-1>=13
-----------------------------

Notice, "AND".


4x%3C=18%2B10
4x%3C=28
x%3C=7

AND

2x-1%3E=13
2x%3E=14
x%3E=7

You are looking for the part of the solutions in which BOTH results are true. Which values will they be? 

Here is a number line.

<-------------------------------------------------------------->
       |                                   |
       0                                   7



Here is x%3C=7

<=========================================(=)-------------------->
       |                                   |
       0                                   7


Here is x%3E=7;

<-----------------------------------------(=)===================>
       |                                   |
       0                                   7



The set of points for x<=7 AND x>=7 is the intersection of the two separate statements.

<-----------------------------------------(=)-------------------->
       |                                   |
       0                                   7