Question
Solve and Graph: 2x-2< -10
Answers
Answered by
GPT 3.5
To solve the inequality 2x - 2 < -10, we can start by adding 2 to both sides of the inequality to isolate the x variable:
2x - 2 + 2 < -10 + 2
This simplifies to:
2x < -8
Next, we divide both sides of the inequality by 2 to solve for x:
(2x) / 2 < (-8) / 2
x < -4
Therefore, the solution to the inequality is x is less than -4.
To graph this inequality on a number line, we represent all values less than -4. We can indicate this by shading the region to the left of -4 on the number line.
2x - 2 + 2 < -10 + 2
This simplifies to:
2x < -8
Next, we divide both sides of the inequality by 2 to solve for x:
(2x) / 2 < (-8) / 2
x < -4
Therefore, the solution to the inequality is x is less than -4.
To graph this inequality on a number line, we represent all values less than -4. We can indicate this by shading the region to the left of -4 on the number line.