braydenyates15 braydenyates15
  • 04-02-2020
  • Mathematics
contestada

solve each inequality, graph the solution, and write the solution in interval notation
5 ≤ 4x− 1 < 7

Respuesta :

bayosanuade
bayosanuade bayosanuade
  • 04-02-2020

Answer: [tex]\frac{5}{4}\leq x\leq 2[/tex]

Step-by-step explanation:

Given :

5 ≤ 4x− 1 < 7

the equation could be spitted into 2

1. [tex]5\leq 4x[/tex]

ii. [tex]4x - 1 <7[/tex]

solving them separately , we have

[tex]5\leq 4x[/tex]

divide through by 4

[tex]\frac{5}{4}\leq x[/tex]

solving (ii) we have

[tex]4x - 1 <7[/tex]

add 1 to both sides

[tex]4x < 7 + 1[/tex]

[tex]4x < 8[/tex]

[tex]x<2[/tex]

combining the solutions , we have [tex]\frac{5}{4}\leq x\leq 2[/tex]

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