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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.
If 5x – 3 ≤ 5 + 3x ≤ 4x + 2, express it as a ≤ x ≤ b and then state the values of a and b.
Class 10 | Exercise 4B | ICSE | Linear Inequations (In One Variable) | Maths | Selina
If 5x – 3 ≤ 5 + 3x ≤ 4x + 2, express it as a ≤ x ≤ b and then state the values of a and b.

Given inequation,

\[\begin{array}{*{35}{l}}

5x\text{ }\text{ }3\text{ }\le \text{ }5\text{ }+\text{ }3x\text{ }\le \text{ }4x\text{ }+\text{ }2  \\

5x\text{ }\text{ }3\text{ }\le \text{ }5\text{ }+\text{ }3x\text{ }and\text{ }5\text{ }+\text{ }3x\text{ }\le \text{ }4x\text{ }+\text{ }2  \\

2x\text{ }\le \text{ }8\text{ }and\text{ }-\text{ }x\text{ }\le \text{ }-\text{ }3  \\

x\text{ }\le \text{ }4\text{ }and\text{ }x\text{ }\le \text{ }3  \\

\end{array}\]

Consequently, \[3\text{ }\le \text{ }x\text{ }\le \text{ }4.\]

Consequently, we have \[a\text{ }=\text{ }3\text{ }and\text{ }b\text{ }=\text{ }4.\]

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