If the replacement set is the set of integers (Z) between -6 and 8, find the solution set of the inequality $15 - 3 x > x - 3$ .

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Solution

$15 - 3 x > x - 3$
$x - 3 < 15 - 3 x$
$x + 3 x \geq 15 + 3$
$4 x < 18$ and $x < 4.5$
Since the replacement set is the set of integers between -6 and 8.
$∴ S o l u t i o n S e t = - 6, - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4$

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If the replacement set is the set of integers (Z) between -6 and 8, find the solution set of the inequality 15−3x>x−3.

15−3x>x−3 x−3<15−3x x+3x≥15+3 4x<18 and x<4.5 Since the replacement set is the set of integers between -6 and 8. ∴SolutionSet=−6,−5,−4,−3,−2,−1,0,1,2,3,4

If the replacement set is the set of integers (Z) between -6 and 8, find the solution set of the inequality $15 - 3 x > x - 3$ .

$15 - 3 x > x - 3$
$x - 3 < 15 - 3 x$
$x + 3 x \geq 15 + 3$
$4 x < 18$ and $x < 4.5$
Since the replacement set is the set of integers between -6 and 8.
$∴ S o l u t i o n S e t = - 6, - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4$