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Sladkaya [172]
3 years ago
11

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

Mathematics
1 answer:
WARRIOR [948]3 years ago
8 0

Addition property of equality

Division property of equality

<em><u>Solution:</u></em>

<em><u>Given inequality is:</u></em>

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

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