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alexislacour73
24.01.2021 •
Mathematics
Y is such that 4y - 7 ≤ 3y and 3y ≤ 5y + 8.
A. What range of values of y satisfies both inequalities?
B. Hence express 4y - 7 ≤ 3y ≤ 5y + 8 in the form a ≤ y ≤ b, where a and b are both integers.
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Ответ:
-4 ≤ y ≤ 7
Step-by-step explanation:
Inequalities
Solve the system of inequalities:
4y - 7 ≤ 3y [1]
3y ≤ 5y + 8 [2]
A.
Subtracting 3y to [1]:
y - 7 ≤ 0
Adding 7:
y ≤ 7
Subtracting 5y to [2]:
-2y ≤ 8
Dividing by -2 (and flipping the sign):
y ≥ -4
The solution of the system is all the values of y greater or equal to -4 and less or equal to 7.
B.
The solution can be expressed as:
-4 ≤ y ≤ 7
Ответ: