Solve the following inequalities:
(a) - 4 ≤ 2x ≤ 6
(b) - 9 ≤ 3x ≤15
Answers
Answered by
6
Step-by-step explanation:
(a)
Given: -4 ≤ 2x ≤ 6
(i)
-4 ≤ 2x
= 2x ≥ - 4
= x ≥ -2
(ii)
2x ≤ 6
= x ≤ 3
Therefore, Solution set is - 2 ≤ x ≤ 3 with interval notation [-2,3].
(b)
Given: -9 ≤ 3x ≤ 15
(i)
-9 ≤ 3x
= 3x ≥ - 9
= x ≥ -3
(ii)
3x ≤ 15
x ≤ 5.
Therefore, Solution set is - 3 ≤ x ≤ 5 with interval notation [-3,5]
Hope it helps!
Answered by
2
Given: -4 ≤ 2x ≤ 6
(i)
-4 ≤ 2x
= 2x ≥ - 4
= x ≥ -2
(ii)
2x ≤ 6
= x ≤ 3
Therefore, Solution set is - 2 ≤ x ≤ 3 with interval notation [-2,3].
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