kennethbarreras963
Answered

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Solve the inequality: 4k-(5+3k)>2

Sagot :

djtwinx017

Answer:

k > 7

Step-by-step explanation:

Given the inequality statement:  4k - (5 + 3k) > 2

Distribute -1 into (5 + 3k):

4k -5 - 3k > 2

Next,  add like terms:

k - 5 > 2

Add 5 to both sides of the inequality:

k - 5 + 5 > 2 + 5

k > 7

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Answer:

[tex]k>7[/tex]

Step-by-step explanation:

[tex]4k-\left(5+3k\right)>2[/tex]

[tex]-\left(5+3k\right)[/tex]

[tex]-5-3k[/tex]

[tex]4k-5-3k[/tex]

[tex]4k-3k=k[/tex]

[tex]k-5[/tex]

[tex]k-5>2[/tex]

Add 5 to both sides

[tex]k-5+5>2+5[/tex]

[tex]k>7[/tex]

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