-y-2<-7
y>5
y<-5
y>-5
Y<5
y>5 and y<-5
pick one
y>5
To solve the inequalities, let's break it down step by step.
1. -y - 2 < -7:
To isolate the variable -y, we need to get rid of the constant -2. We can do this by adding 2 to both sides of the inequality.
-y - 2 + 2 < -7 + 2
Simplifying the equation, we get:
-y < -5
To solve for y, we need to multiply the whole inequality by -1, but remember to flip the inequality sign.
-1*(-y) > -1*(-5)
Simplifying, we get:
y > 5
Therefore, the solution is y > 5.
2. y > -5:
This inequality is already in its simplest form. The solution here is all the values of y that are greater than -5.
3. y < -5:
Similar to the previous inequality, this is already in its simplest form. The solution here is all the values of y that are less than -5.
4. y > 5:
Likewise, this inequality is already in its simplest form. The solution here is all the values of y that are greater than 5.
In summary:
- Inequality "-y - 2 < -7" simplifies to "y > 5".
- Inequality "y > -5" remains as it is.
- Inequality "y < -5" remains as it is.
- Inequality "y > 5" remains as it is.