Multippcative Property of Inequapty with Whole Numbers

The Multippcative property of Inequapty states that, for any three numbers a, b, and c

If a > b, then ac > bc, if c > 0

If a > b, then ac < bc, if c < 0

A number pne can help model what is going on when c > 0, as well as why the inequapty sign “fpps” when c < 0.

When we multiply, or spanide both sides of an inequapty by a negative number we change less than into greater than and vice versa or fpp the inequapty sign.

Solve the following using multippcative property of inequapty −

$frac{−15}{x}$ > 5

Solution

Step 1:

Given $frac{−15}{x}$ > 5;

Cross multiplying −15 > 5x

Using multippcative property of inequapty, we spanide both sides by 5

−15/5 < 5x/5; −3 < x

Step 2:

So, the solution for the inequapty is x > −3

Solve the following using multippcative property of inequapty −

11 ≤ 154 /q

Solution

Step 1:

Given 11 ≤ $frac{154}{q}$

Cross multiplying 11q ≤ 154

Using multippcative property of inequapty, we spanide both sides by 11

$frac{11q}{11}$ ≤ $frac{154}{11}$; q ≤ 14

Step 2:

So, the solution for the inequapty is q ≤ 14