Answer:
All real numbers are solutions.
Step-by-step explanation:
Begin by expanding the right side (Distributive Property).
6x - 13 < 6x - 12
Notice that 6x appears on both sides, so when you try to get rid of 6x on the right by subtracting it, this happens:
-13 < -12
This is a true statement! Negative thirteen is less than negative twelve.
That's an indication that the original inequality is true for all real numbers.
If you had ended up with a false statement such as 4 > 13, that would indicate that no real numbers are solutions.
Answer:
The Inequality is true for all real numbers.
Step-by-step explanation:
We are given the Inequality:
[tex]\displaystyle \large{6x - 13 < 6(x - 2)}[/tex]
First, expand 6 in.
[tex]\displaystyle \large{6x - 13< 6x - 12}[/tex]
Subtract both sides by 6x.
[tex]\displaystyle \large{6x - 13 - 6x< 6x - 12 - 6x} \\ \displaystyle \large{- 13< - 12 }[/tex]
Since variables no longer exist, there are two circumstances:
Since we know that -13 is less than -12, the Inequality is true for all real numbers.
