arha2017 arha2017
  • 23-08-2019
  • Mathematics
contestada

Solve the inequality −36 ≤3t
a)

{t | t≤12}

b)

{t | t≥−12}

c)

{t | t ≤−12}

d)

{t | t≥12}

Respuesta :

aamaruf
aamaruf aamaruf
  • 23-08-2019

Answer:

b)  

{t | t≥−12}

Step-by-step explanation:

−36 ≤3t

=>-36/3  ≤ t    [divided by 3 on both side]

=> -12  ≤ t

=>t ≥−12

Answer Link
luisejr77
luisejr77 luisejr77
  • 23-08-2019

Answer: option b.

Step-by-step explanation:

Given the following inequality:

[tex]-36\leq 3t[/tex]

You need to solve for "t".

Then, applying the Division property of inequality, we get:

[tex]\frac{-36}{3}\leq \frac{3t}{3}\\\\-12\leq t\\\\t\geq -12[/tex]

Therefore, the solution of the inequality provided written in Set Notation is:

{[tex]t| t\geq -12[/tex]}

Answer Link

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