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
4.6104 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 cosine value (rounded to four decimal places) of an angle in degree that occupies 45% of the circumference of a circle?
+
Question: What is the limit as x approaches 0 of (sin x - x)/x^3?
+
Math question: "Consider the function f(x) = x^3 - 3x^2 + 2x on the interval [0, 2]. Find the absolute extrema."
+
New questions in Mathematics