Can anyone help me with this? It's practice problems. I really do not understand this :(
4. m ¨C 7 < 6
m < ¨C1
m > 1
m < 13
m < ¨C13
5. y + 5 ¡Ý 7
y ¡Ü 2
y ¡Ü 12
y ¡Ý 2
y ¡Ý 12
6. p + 12 > 9
p > 21
p > 3
p > ¨C21
p > ¨C3
7. Translate the following statement into an inequality: Five less than a number is at least nine.
x ¨C 5 ¡Ý 9
x ¨C 9 > 5
x ¨C 5 > 9
x ¨C 5 ¡Ü 9
Sure, I can help you with these practice problems!
For problem 4:
We have the inequality m - 7 < 6.
To solve this inequality, we want to isolate the variable m on one side of the inequality sign.
First, we add 7 to both sides of the inequality:
m - 7 + 7 < 6 + 7
m < 13
So the correct answer is m < 13.
For problem 5:
We have the inequality y + 5 ≥ 7.
To solve this inequality, we want to isolate the variable y on one side of the inequality sign.
First, we subtract 5 from both sides of the inequality:
y + 5 - 5 ≥ 7 - 5
y ≥ 2
So the correct answer is y ≥ 2.
For problem 6:
We have the inequality p + 12 > 9.
To solve this inequality, we want to isolate the variable p on one side of the inequality sign.
First, subtract 12 from both sides of the inequality:
p + 12 - 12 > 9 - 12
p > -3
So the correct answer is p > -3.
For problem 7:
We need to translate the statement "Five less than a number is at least nine" into an inequality.
Let's assume the number is represented by the variable x.
Since we have "less than" in the statement, we need to subtract 5 from the variable x.
The inequality becomes:
x - 5 ≥ 9
So the correct answer is x - 5 ≥ 9.