Question

3 (m-2)>9 solve the inequalities

Answer 1

Question:-

3 (m-2)>9 solve the inequalities

Answer:-

• The solution set is { m : m > 5,m ∈ N}

To find:-

• Solution set

Solution:-

According to question,

$\large{ \tt : \implies \: \: \: \: \: 3(m - 2) > 9}$

• Dividing by 3 on both sides

$\large{ \tt : \implies \: \: \: \: \: \frac{3(m - 2)}{3} > \frac{9}{3} }$

$\large{ \tt : \implies \: \: \: \: \: m - 2 > 3}$

• Adding 2 on both sides

$\large{ \tt : \implies \: \: \: \: \: m - 2 + 2 > 3 + 2}$

$\large{ \tt : \implies \: \: \: \: \: m > 5}$

The solution set is { m : m > 5,m ∈ N}