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-5k greater than or equal to 20d/7 > 328 < 4 (x +2)5 ( n - 3 ) greater than or equal to 3 ( n + 7 )

-5k greater than or equal to 20d/7 > 328 < 4 (x +2)5 ( n - 3 ) greater than or equal to 3 ( n + 7 )
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-5k greater than or equal to 20d/7 > 328 < 4 (x +2)5 ( n - 3 ) greater than or equal to 3 ( n + 7 )

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User Peter Henry
by
8.1k points

1 Answer

4 votes

1.


\begin{gathered} -5k\ge20 \\ \text{Divide by -5 both sides of the inequality:} \\ -(5)/(5)k\ge(20)/(-5) \\ k\ge-4 \end{gathered}

2.


\begin{gathered} (d)/(7)>3 \\ \text{Multiply both sides by 7} \\ (d)/(7)\cdot7>3\cdot7 \\ d>21 \end{gathered}

3.


\begin{gathered} 28<4(x+2) \\ 28<4x+8 \\ \text{Subtract both sides by 8} \\ 28-8<4x+8-8 \\ 20<4x \\ \text{Divide both sides by 4} \\ (20)/(4)<(4x)/(4) \\ 54.[tex]\begin{gathered} 5(n-3)\ge3(n+7) \\ 5n-15\ge3n+21 \\ 5n-3n\ge21+15 \\ 2n\ge36 \\ n\ge(36)/(2) \\ n\ge18 \end{gathered}

answered
User Brian Keegan
by
8.1k points
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