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Question
Solve the following inequalities
6(x + 6) ≥ 5(x – 3), x is a whole number
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Solution
6(x + 6) ≥ 5(x – 3)
6x + 36 ≥ 5x – 15
Subtracting 5x on both sides
6x + 36 – 5x ≥ 5x – 15 – 5x
x(6 – 5) + 36 ≥ x(5 – 5) – 15
x + 36 ≥ – 15
Subtracting 36 on both sides
x + 36 – 36 ≥ –15 – 36
x ≥ – 51
The solution is a whole number and which is greater than or equal to – 51
∴ The solution is 0, 1, 2, 3, 4, …
x = 0, 1, 2, 3, 4, …
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