SOLUTION: 7-4x<8

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Question 246321: 7-4x<8
Found 2 solutions by College Student, RicaMath:
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
7-4x%3C8
-4x%3C8-7
-4x%3C1
x%3E-%281%2F4%29
.
Notice that when we add or substract on both sides of the inequality, the symbol does not change direction. However, when we mulitply or divide a negative number on both sides of the inequality, the symbol does change direction.

Answer by RicaMath(8) About Me  (Show Source):
You can put this solution on YOUR website!
Initial problem: 7-4x<8


The goal here is to isolate the x variable.


First step: subtract the 7 from both sides:


-4x < (8-7)
-4x < 1


Second step: divide both sides by -4. Remember, when you divide by a negative number, the direction of the inequality changes.


x > -1/4


Note: you can always check your answer by selecting a number that fits your final inequality and plugging it into the original problem.


In this case, let's choose x = 0, because that fits the answer x > -1/4.


Then, you have:


7 - 4(0) < 8
7 < 8


Which is a true statement. So, the answer indeed is x > -1/4.