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Mathematics

For the following inequations, graph the solution set on the real number line :

-4 ≤ 3x - 1 < 8

Linear Inequations

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Answer

-4 ≤ 3x - 1 < 8

Solving L.H.S. of the equation,

⇒ -4 ≤ 3x - 1

⇒ 3x ≥ -4 + 1

⇒ 3x ≥ -3

⇒ x ≥ -1 ………(i)

Solving R.H.S. of the equation,

⇒ 3x - 1 < 8

⇒ 3x < 8 + 1

⇒ 3x < 9

⇒ x < 3 ………(ii)

From (i) and (ii) we get,

-1 ≤ x < 3.

∴ Solution set = {-1 ≤ x < 3 : x ∈ R }

Solution on the number line is :

-4 ≤ 3x - 1 < 8. Graph the solution set on the real number line. Linear Inequations, Concise Mathematics Solutions ICSE Class 10.

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