Question

Which of the following is the solution to the compound inequality 7x+3/2>13 or 5/2x-1/3>-11/2

Answer 1

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Explanation:

`7x+(3)/(2)>13\qquad\text{multiply both sides by 2}\\\\14x+3>26\qquad\text{subtract 3 from both sides}\\\\14x>23\qquad\text{divide both sides by 14}\\\\x>(23)/(14)=1(9)/(14)\\=====================\\\\(5)/(2)x-(1)/(3)>-(11)/(2)\qquad\text{multiply both sides by 2}\\\\5x-(2)/(3)>-11\qquad\text{multiply both sides by 3}\\\\15x-2>-33\qquad\text{add 2 to both sides}\\\\15x>-31\qquad\text{divide both sides by 15}\\\\x>-(31)/(15)=-2(1)/(15)\\=====================`