Question

What is the solution of the inequality $-12>y+6$?

1. $y<-18$
2. $y<-6$
3. $y>-18$
4. $y>-6$

Short answer

The correct answer of this question is A $y<-18$.

Step-by-step solution

Step 1. Apply the concept of linear inequality and do some mathematical operations.

In this, simply use the concept of linear inequality and do various mathematical operations like addition, subtraction to get the correct answer

Step 2. Find the solution of the inequality.

The solution of the inequality is obtained as:

$\begin{array}{l}-12>y+6\\ -12-6>y+6-6\\ -18>y\\ y<-18\end{array}$

(subtract 6 in both sides and simplify)

Step 3. Eliminating the options to get correct one

1. $y<-18$It is the correct option because after solving the inequality the answer is$y<-18$.
2. $y<-6$ It is the incorrect option because after solving the inequality the answer is$y<-18$.
3. $y>-18$ It is the incorrect option because after solving the inequality the answer is$y<-18$.
4. $y>-6$ It is the incorrect option because after solving the inequality the answer is$y<-18$.