solve and graph the solution set on a number line : 4x _ 3x <13+x ; if
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The given inequality is 3x + 8 > 2
=> 3x + 8 – 8 > 2 – 8 [8 is subtracted both sides]
=> 3x > -6
=> x > -6/3
=> x > -2
(i)The integers greater than –2 are –1, 0, 1, 2, ...
Thus, when x is an integer, the solutions of the given inequality are –1, 0, 1, 2 ...
Hence, in this case, the solution set is {–1, 0, 1, 2, ...}.
(ii) When x is a real number, the solutions of the given inequality are all the real numbers,
which are greater than –2.
Thus, in this case, the solution set is (– 2, ∞).
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