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If 5x – 3 ≤ 5 + 3x ≤ 4x + 2, Express It as a ≤ X ≤ B and Then State the Values of a and B. - Mathematics

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Question

If 5x – 3 ≤ 5 + 3x ≤ 4x + 2, express it as a ≤ x ≤ b and then state the values of a and b.

Solution

5x – 3 ≤ 5 + 3x ≤ 4x + 2

5x – 3 ≤ 5 + 3x and 5 + 3x ≤ 4x + 2

2x ≤ 8 and -x ≤ -3

x ≤ 4 and x ≥ 3

Thus, 3 ≤  x ≤ 4.

Hence, a = 3 and b = 4

  Is there an error in this question or solution?
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APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 4: Linear Inequations (In one variable)
Exercise 4(B) | Q: 10 | Page no. 49
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If 5x – 3 ≤ 5 + 3x ≤ 4x + 2, Express It as a ≤ X ≤ B and Then State the Values of a and B. Concept: Linear Inequations in One Variable.
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