Question

solve these inequalitie i 3(m-3)> 9
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Answer 1

$\Large{\underbrace{\underline{\sf{Understanding\; the\; Question}}}}$

Here in this question, concept of linear inequalities is used. We are given an inequality and we have to find value of p. We have some rules for operation of any Linear inequality, we must follow these rules. So let's start with understanding the rules of linear inequalities.

$\\\\\rule{290}{2}$

Rules for Linear inequalities:

• If you add or subtract same positive number on both sides , the inequality will be true.

• If you multiply or divide same positive number on both sides, the inequality will be true.

• If you multiply or divide negative numbers on both sides, sign of inequality will flip.

Now let's solve the problem!!

$\\\rule{290}{2}$

Given inequality:

⇒ 3(m-3)>9

⇒ 3m-9>9

Add 9 from both sides

⇒ 3m-9+9>9+9

Now -9+9 will be 0 on LHS and 9+9 will be 18 on RHS.

⇒ 3m>18

Now divide 3 from both sides

⇒ 3m÷3>18÷3

⇒ m>6

So the value of m must be smaller than 6.

$\\\rule{290}{2}$

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