Question
4(x+ 2) ≥2x-2 find the range of x
52
likes261 views
Answer to a math question 4(x+ 2) ≥2x-2 find the range of x
Corbin
4.6107 Answers
To find the range of x that satisfies the inequality 4(x + 2) ≥ 2x - 2, we can solve it step by step. Let's begin:
4(x + 2) ≥ 2x - 2
First, distribute 4 to both terms inside the parentheses:
4x + 8 ≥ 2x - 2
Next, let's isolate the terms with x on one side of the inequality by subtracting 2x from both sides:
4x - 2x + 8 ≥ -2
Simplifying the left side:
2x + 8 ≥ -2
Now, let's isolate the term with x by subtracting 8 from both sides:
2x + 8 - 8 ≥ -2 - 8
Simplifying both sides:
2x ≥ -10
Finally, to solve for x, we divide both sides by 2. Since we are dividing by a positive number, the direction of the inequality remains the same:
(2x)/2 ≥ (-10)/2
x ≥ -5
Therefore, the range of x that satisfies the inequality 4(x + 2) ≥ 2x - 2 is x ≥ -5.
Frequently asked questions (FAQs)
What is the value of sin(pi/4) when referring to the unit circle chart?
+
What is the period of the function f(x) = cot x? (in radians)
+
What are the x-intercepts of the graph y = 2x² + 3x - 4?
+
New questions in Mathematics