I just need to know what the solution set of 'y - 6 >/= 12' is since it's kind of confusing to me. (I already know the inequality but I just don't really get the idea of solution sets, if you could try to tell me the general idea as well then that would also be really helpful ^^)
y - 6 >= 12
add 6 to both sides, and you get
y >= 18
That means the solution set is all numbers at least 18.
The solution set to any equation or inequality is the set of numbers which make the assertion true.
in this case, if y is any number 18 or greater, y-6 >= 12
To graph the solution set, draw the number line, place a solid dot at 18, and shade everything to the right.
Thank you!
To find the solution set of the inequality y - 6 ≥ 12, we need to solve for y.
Let's start by isolating y on one side of the inequality. To do this, we add 6 to both sides of the inequality:
y - 6 + 6 ≥ 12 + 6
This simplifies to:
y ≥ 18
Now, the inequality y ≥ 18 means that y can take on any value that is greater than or equal to 18. This is because any value of y that is greater than or equal to 18 will make the inequality true.
So, the solution set of the inequality y - 6 ≥ 12 is all real numbers greater than or equal to 18. In interval notation, we can write the solution set as [18, ∞) where ∞ represents positive infinity.
To better understand the concept of solution sets, think of the inequality as a condition that needs to be met. In this case, the condition y - 6 ≥ 12 means that y should be greater than or equal to 18 in order for the inequality to hold true.
The solution set represents all the values of y that satisfy the condition. In this case, it includes all real numbers that are greater than or equal to 18.