Find the integer values of x that satisfy both of these inequalities.
2 answers:
Answer:
x ∈ [-2/3, 3)
Step-by-step explanation:
5 − 3x ⩽ 7 and 4x + 1 < 13, this is given
-3x ≤ 7-5 and 4x < 13 -1, subtract 5 from first inequality and subtract -1 from second
-3x ≤ 2 and 4x < 12, combine like terms
x ≥ -2/3 and x < 12/4, divide by -3 and change the first inequality, and divide the second inequality by 4
x ≥ -2/3 and x < 3
[-2/3, ∞) and (-∞, 3)
x ∈ [-2/3, 3)
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