please solve:
8y - 12 < 7y - 7
{ y y < ?
there is supposed to be a straight line between the y and y
subtract 7x from both sides
add 12 to each side.
do you mean subtract 7y from both sides? There is no 7x
yes, 7y
8y-12<7y-7
8y -12 -7y<7y-7-7y
y-12<-7
y-12+12<-7+12
y<5
Is this correct?
mucho correct.
To solve the inequality, we need to isolate the variable "y" on one side of the equation.
Let's start by simplifying both sides of the inequality:
8y - 12 < 7y - 7
To isolate the term with "y," let's subtract 7y from both sides of the equation:
8y - 7y - 12 < 7y - 7 - 7y
This simplifies to:
y - 12 < -7
Next, we want to get "y" by itself, so let's add 12 to both sides:
y - 12 + 12 < -7 + 12
This simplifies to:
y < 5
Now we have our solution: y is less than 5.
To represent the solution graphically, draw a number line and mark a point at 5. Since the inequality is "less than," we make an open circle at 5 and shade everything to the left of it. This indicates that all values less than 5 satisfy the inequality.
Therefore, the solution to the inequality 8y - 12 < 7y - 7, where y is less than 5, is written as:
y < 5