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# Class 9 Math Linear Equations and Inequalities

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$1. Solve the following equations.(vi) \frac{x}{3 x-6}=2-\frac{2 x}{x-2} x \neq 2$

Example 3Solve the double inequality -2<\frac{1-2 x}{3}<1 where x \in \mathrm{R} .

$Example 3Solve the double inequality -2<\frac{1-2 x}{3}<1 where x \in \mathrm{R} .$

Example 2Solve \frac{1}{2} x-\frac{2}{3} \leq x+\frac{1}{3} where x \in \mathrm{R} .

$Example 2Solve \frac{1}{2} x-\frac{2}{3} \leq x+\frac{1}{3} where x \in \mathrm{R} .$

1. Solve the following equations.(x) \frac{2}{3 x+6}=\frac{1}{6}-\frac{1}{2 x+4} x \neq-2

$1. Solve the following equations.(x) \frac{2}{3 x+6}=\frac{1}{6}-\frac{1}{2 x+4} x \neq-2$

1. Solve the following equations.(vi) \frac{x}{3 x-6}=2-\frac{2 x}{x-2} x \neq 2

$1. Solve the following equations.(vi) \frac{x}{3 x-6}=2-\frac{2 x}{x-2} x \neq 2$

3. Answer the following short questions.(iv) Seven times the sum of an integer and 12 is at least 50 and at most 60 . Write and solve the inequality that expresses this relationship.

$3. Answer the following short questions.(iv) Seven times the sum of an integer and 12 is at least 50 and at most 60 . Write and solve the inequality that expresses this relationship.$