contestada

What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}? 3r ≤ 4r – 6 A. {6, 7, 8, 9,10} B. {7, 8, 9,10} C. {5} D. {5, 6}

Respuesta :

Start with

[tex] 3r \leq 4r-6 [/tex]

Subtract [tex] 3r [/tex] from both sides:

[tex] 0 \leq r - 6 \iff r-6 \geq 0 [/tex]

Add 6 to both sides:

[tex] r \geq 6 [/tex]

So, All numbers greater than or equal to 6 are ok: the solution is the first set:

[tex] A = \{6,\ 7,\ 8,\ 9,\ 10\} [/tex]

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