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Class 9 Math Linear Equations and Inequalities


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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} .

Example3Solvethedoubleinequality2<12x3<1wherexR.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} .

Example2Solve12x23x+13wherexR.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.Solvethefollowingequations.(x)23x+6=1612x+4x21. 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

1.Solvethefollowingequations.(vi)x3x6=22xx2x21. 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.

3.Answerthefollowingshortquestions.(iv)Seventimesthesumofanintegerand12isatleast50andatmost60.Writeandsolvetheinequalitythatexpressesthisrelationship.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.

2. Solve for x (vi) \frac{1}{2}|x+3|+21=9
2. Solve for  x (vi)  \frac{1}{2}|x+3|+21=9

2.Solveforx(vi)12x+3+21=92. Solve for x (vi) \frac{1}{2}|x+3|+21=9

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