can someone explain and answer this equation for me. 7y - 6 < 6y -1 Thanks
subtract 6y from each side
y-6<-1
add 6 to each side
y<5
7y - 6 < 6y -1
7y - 6y < -1 + 6
y < 5
notice I performed the same steps as I would for an ordinary equation.
The only exception is, ...
"When you multiply or divide both sides by a negative, the inequality sign has to be reversed"
e.g.
if you had
-3x > 12
then
x < -4 , ( I divided both sides by -3 )
Certainly! To explain and answer the equation 7y - 6 < 6y - 1, we need to isolate the variable, y, to one side of the inequality sign and determine the range of values that satisfy the inequality.
Let's start by simplifying the equation. We'll first combine like terms on each side:
7y - 6 < 6y - 1
By moving 6y to the left side of the inequality and -1 to the right side, we get:
7y - 6y < -1 + 6
This simplifies to:
y < 5
So, the solution to the inequality is y is less than 5.
To verify this, we can pick any value for y that is less than 5 and substitute it back into the original inequality. For example, let's try y = 3:
7(3) - 6 < 6(3) - 1
21 - 6 < 18 - 1
15 < 17
Since 15 is indeed less than 17, our solution y < 5 is valid.
Therefore, for any value of y less than 5, the inequality 7y - 6 < 6y - 1 will hold true.