Question

Which property was used to solve the given inequality?

y+8<-8
y+8-8<-8-8
y<-16

A. Subtraction Property of Inequality
B. Commutative Property of Addition
C. Associative Property of Addition

Answer 1

Subtraction Property of Inequality is used to solve the given inequality

Solution:

Given inequality is:

`y + 8 < - 8`

To solve the inequality, subtract 8 on both sides,

We know that,

Adding or subtracting the same quantity from both sides of an inequality leaves the inequality symbol unchanged

Also, by Subtraction Property of Inequality,

If you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well

`y + 8 < - 8\\\\\text{Subtract 8 from both sides of inequality }\\\\y + 8 - 8 < -8 - 8\\\\simplify,\\\\y<-16`

Thus, Subtraction Property of Inequality is used