landonb5125 landonb5125
  • 21-08-2020
  • Mathematics
contestada

–6 < 2x – 4 < 4 solve the inequality

Respuesta :

Stephen46
Stephen46 Stephen46
  • 24-08-2020

Answer:

The answer is

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

Step-by-step explanation:

[tex] - 6 < 2x - 4 < 4[/tex]

First of all add 4 to both sides of the inequality to make 2x stand alone

That's

[tex] - 6 + 4 < 2x - 4 + 4 < 4 + 4 \\ - 2 < 2x < 8[/tex]

Divide both sides of the inequality by 2 inorder to find x

That's

[tex] \frac{ - 2}{2} < \frac{2x}{2} < \frac{8}{2} [/tex]

We have the final answer as

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

Hope this helps you

Answer Link

Otras preguntas

Samantha saved $13 by buying a used DVD. She paid $5 less than half the original price of a new one. How much did Samantha pay for a used DVD?
calculate the wavelength of violet light with a frequency of 750×10 to the 12
Find the volume of the cylinder. Use 3.14 for (π Pi) 34 m on top and 27 m down on the right.
Use the quadratic formula to solve x2 + 7x + 8 = 0. Estimate irrational solutions to the nearest tenth.
HOW CAN 5 PEOPLE equally SHARE 4 BROWNIES IN FRACTION TERM?
Could you make a sentence with the word bushel
What was the overall effect of Metternich's plan on France?
Isabella is solving the equation 4x2 = 13x – 3 with the quadratic formula.* What values should she use for a, b, and c?
Could you help me with this? :) What is similar about america from the past compared to now?
Some organisms have favorable traits that are well-suited to the environment at hand. Organisms with this advantage are more likely to thrive, reproduce, and pa