braydenyates15 braydenyates15
  • 04-02-2020
  • Mathematics
contestada

solve each inequality, graph the solution on the number line, and write the solution in interval notation
3x− 2 > 4 or 5x− 3 ≤ 7

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 10-02-2020

Answer:

[tex](-\infty,+\infty)[/tex]

Step-by-step explanation:

The given inequality is 3x-2>4 or [tex]5x-3\leq 7[/tex]

We group similar terms to obtain: 3x>4+2 or [tex]5x\le7+3[/tex]

Simplify to get:

3x>6 or [tex]5x\le10[/tex]

x>2 or [tex]x\le 2[/tex]

This implies that the solution set is all real numbers.

The solution in interval notation is [tex](-\infty,+\infty)[/tex]

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