Respuesta :

[tex]\\ \tt\hookrightarrow 4x^2-49<0[/tex]

[tex]\\ \tt\hookrightarrow 4x^2<49[/tex]

[tex]\\ \tt\hookrightarrow x^2<12.25[/tex]

[tex]\\ \tt\hookrightarrow x<3.5[/tex]

Done

Answer:

  • Simplified inequality: x < 7/2

Solution:

First, let's simplify the inequality to obtain the simplified inequality. Then, let's graph it.

  • => 4x² - 49 < 0
  • => 4x² - 49 + 49 < 0 + 49
  • => 4x² < 49
  • => 4x²/4 < 49/4
  • => x² < 49/4
  • => √x² < √49/4
  • => x < √7 × 7/2 × 2
  • => x < 7/2

Now, let's graph the inequality.

Please consider checking out attached image

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