tkdgirl8808 tkdgirl8808
  • 09-02-2021
  • Mathematics
contestada

Y is such that 4y _ 7<= 3y and 3y <= 5y +8. What range of values of y satisfies both inequalities

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abidemiokin
abidemiokin abidemiokin
  • 11-02-2021

Answer:

-4≤y≤7

Step-by-step explanation:

Given the inequality expressions

4y - 7 ≤ 3y and 3y≤5y+8

For 4y - 7 ≤ 3y

Collect like terms

4y - 3y ≤ 7

y ≤ 7

For  3y≤5y+8

Collect like terms

3y - 5y ≤ 8

-2y ≤ 8

y ≥ 8/-2

y ≥ -4

Combining both solutions

-4≤y≤7

Hence the range of values of y that satisfies both inequalities is -4≤y≤7

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