ellak123
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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.​

( I will give brainliest to whoever answers correctly)

Respuesta :

elcharly64

Answer:

-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

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