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

2 Answers
Jun 23, 2017

Answer:

#(-oo,1]#

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

Answer:

Solution: #y<=1#. In interval notation : #(-oo,1]#

Explanation:

#5-y >= 4 or -y >= 4-5 or -y >= -1 or y <= 1#

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

Solution: #y<=1#. In interval notation : #(-oo,1]# [Ans]