Respuesta :

Addition property of equality

Division property of equality

Solution:

Given inequality is:

3x - 2 > 4

[tex]\mathrm{Add\:}2\mathrm{\:to\:both\:sides}[/tex]

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

[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]

Here, Division property of equality is used

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

[tex]\frac{3x}{3}>\frac{6}{3}\\\\x > 2[/tex]

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

Answer:

addition then multiplication on edge

Step-by-step explanation: