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In Class 11 Mathematics, this topic develops a visual understanding of Linear Inequalities through the representation of numbers and solution sets on a number line. Students learn to locate real numbers, mark intervals, distinguish included and excluded endpoints, and interpret symbols such as <, >, ≤, and ≥. The topic also helps them read and communicate inequality solutions clearly, including cases where intervals are combined or restricted.
Hard · Level 7 · 1 questions
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(x<\frac{11}{4}), open dot at (\frac{11}{4}) shaded left
(x>\frac{11}{4}), open dot at (\frac{11}{4}) shaded right
(x\le\frac{11}{4}), closed dot at (\frac{11}{4}) shaded left
(x\ge\frac{11}{4}), closed dot at (\frac{11}{4}) shaded right
Question 1HardLevel 7
Which is the correct number line solution of (\frac{5-4x}{-2}>3)?असमानता (\frac{5-4x}{-2}>3) का संख्या रेखा पर सही हल कौन-सा है?
Correct answer:सही उत्तर:B
Multiplying by (-2) reverses the sign to (5-4x<-6), so (x>\frac{11}{4}). In exams, reverse the inequality when removing a negative denominator.(-2) से गुणा करने पर चिन्ह पलटकर (5-4x<-6), इसलिए (x>\frac{11}{4})। परीक्षा में negative denominator हटाते समय inequality reverse करें।
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