andresgorilla andresgorilla
  • 13-11-2019
  • Mathematics
contestada

What is the solution to -2(8x – 4) < 2x + 5?

Respuesta :

aahona
aahona aahona
  • 10-12-2020

Answer:

[tex]x > \frac{1}{6}[/tex]

Step-by-step explanation:

1. Foil the left hand side of the equation:

[tex] - 16x + 8 < 2x + 5[/tex]

2. Isolate the variable (bring all of the x's on one side):

[tex] - 16x < 2x +( 5 - 8)[/tex]

[tex] - 16x - 2x < - 3[/tex]

[tex] - 18x < - 3[/tex]

3. Isolate x by dividing both sides by -18. Remember, when you divide inequalities by a negative number, you have to switch the sign!

[tex] \frac{ - 18x}{ - 18} < - \frac{ - 3}{ - 18} [/tex]

[tex]x > \frac{1}{6} [/tex]

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