Question

Identify the property used in each step of solving the inequality 3x-2>-4.

Answer 1

Addition property of equality

Division property of equality

Solution:

Given inequality is:

3x - 2 > 4

$\mathrm{Add\:}2\mathrm{\:to\:both\:sides}$

Here, Addition property of equality is used

When the same amount is added to both sides of an inequality, then the inequality is still true

3x - 2 + 2 > 4 + 2

3x > 6

$\mathrm{Divide\:both\:sides\:by\:}3$

Here, Division property of equality is used

When we divide both sides of an equation by the same nonzero number, the sides remain equal.

$\frac{3x}{3}>\frac{6}{3}\\\\x > 2$

Thus the property used in each step of solving the inequality is found