JetsonG64829 JetsonG64829
  • 03-11-2022
  • Mathematics
contestada

Solve the following inequality, 6 < 3r-45 < 36 Which graph shows the correct solution?

Respuesta :

MontaeJ403140 MontaeJ403140
  • 03-11-2022
Inequality solution

We know that:

6 < 3r-45 < 36

We want to re arrange the inequations:

Step 1: all terms with an unkown value on one side.

We want to let 3r "be alone" in the middle side:

6 < 3r-45 < 36

6 + 45 < 3r < 36 + 45 [adding 45 in each part]

51 < 3r < 81 [6 + 45 = 51 and 36 + 45 = 81]

Step 2: we want to clear r

51 < 3r < 81

51/3 < r < 81/3 [dividing by 3 all sides]

17 < r < 27 [51/3 = 17 and 81 /3 = 27]

Answer: 17 < r < 27

GRAPH

Ver imagen MontaeJ403140
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