# How do you solve and write the following in interval notation: #5-y>=4#?

##### 2 Answers

Jun 23, 2017

#### Explanation:

#"subtract 5 from both sides"#

#cancel(5)cancel(-5)-y>= 4-5#

#rArr-y>= -1#

#"multiply through by - 1"#

#color(blue)"NOTE"# when multiplying/dividing by a negative quantity#color(red)"Reverse"# the inequality symbol.

#rArry<= 1larrcolor(red)" reverse symbol"#

#"in interval notation " (-oo,1]#

Jun 23, 2017

**Solution:** **In interval notation :**

#### Explanation:

Note: multiplying with negative on both sides will reverse the inequality sign.

Solution: