2x-3 < x+1 <= 4x+7, x € I
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Answered by
1
Answer:
2x - 3 < x + 1 ≤ 4x + 7
Subtract x from each side
» x - 3 < 1 ≤ 3x + 7
» x - 3 < 1
» x < 4
» x € (-∞, 3] ... (1)
Also,
» 3x + 7 ≥ 1
» 3x ≥ - 6
» x ≥ -2
» x € [-2, ∞) ... (2)
from (1) & (2)
» x € [-2, 3]
Answered by
2
Answer:
x € [-2, 3]
Step-by-step explanation:
Given 2x - 3 < x + 1 ≤ 4x + 7
2x - 3 < x + 1
x < 4
So x € (-∞, 3] ........(i)
x + 1 ≤ 4x + 7
3x ≥ -6
x ≥ -2
So x € [-2, ∞) ........(ii)
from (1) & (2)
x € [-2, 3]
So value of x = -2, -1, 0, 1, 2, 3.
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