MathMaster logo

MathMaster

  1. Home
  2. general
  3. 4 x 2 2x 2 find the range of x
Question

4(x+ 2) ≥2x-2 find the range of x

52

likes
261 views

Answer to a math question 4(x+ 2) ≥2x-2 find the range of x

Expert avatar
Corbin
4.6
107 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)
Question: What is the time taken to travel a distance of 150 miles with a constant speed of 60 miles per hour?
+
What is the slope-intercept form of a line passing through (2, -3) and (5, 7)?
+
What is the value of f(3) for the function f(x) = 1/x?
+
New questions in Mathematics
Solution to the equation y'' - y' - 6y = 0
A circular park has a diameter of 150ft. A circular fence is to be placed on the edge of this park. Calculate the cost of fencing this park if the rate charged is $7 per foot. Use π = 3.14.
An integer is taken at random from the first 40 positive integers. What is the probability that the integer is divisible by 5 or 6?
Margin of error E=0.30 populations standard deviation =2.5. Population means with 95% confidence. What I the required sample size (round up to the whole number)
Answer the following questions regarding the expression below. 0.1 (a) Write the number as a fraction.
Perpetual annuities are a series of payments whose duration has no end. Explain how can we calculate them, if they have no end?
Find 2 numbers whose sum is 47 and whose subtraction is 13
From 1975 through 2020 the mean annual gain of the Dow Jones Industrial Average was 652. A random sample of 34 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 800? Assume the standard deviation is 1539
2)A tourist has 15 pairs of pants in his hotel room closet. Suppose 5 are blue and the rest are black. The tourist leaves his room twice a day. He takes a pair of pants and puts them on, the tourist leaves the first pair of pants in the closet again and takes another one and puts them on. What is the probability that the two pants chosen are black?
X³-27
Build a truth table for the statement ~(pvq)^~p
2X+2=8
suppose a city with population 80,000 has been growing at a rate of 8% per year if this rate continues find the population of this city in 10 years
The average undergraduate cost per tuition, fees, room, and board for all institutions last year was $26,025. A random sample of 40 institutions of higher learning this year indicated that the mean tuition, fees, room, and board for the sample was $27,690, and the population standard deviation is $5492. At the 0.05 level of significance, is there sufficient evidence that the cost has increased? (Remember to follow the steps in hypothesis testing)
25) Paulo saves R$250.00 per month and keeps the money in a safe in his own home. At the end of 12 months, deposit the total saved into the savings account. Consider that, each year, deposits are always carried out on the same day and month; the annual yield on the savings account is 7%; and, the yield total is obtained by the interest compounding process. So, the amount that Paulo will have in his savings account after 3 years, from the moment you started saving part of your money monthly, it will be A) R$6,644.70. B) R$ 9,210.00. C) R$ 9,644.70. D) R$ 10,319.83. E) R$ 13,319.83
How many moles are there in 235 grams of potassium thiosulfate pentahydrate? K2S2O3*5(H2O)
4m - 3t + 7 = 16
Carmen's age was twice as old as Luis was when Carmen was Luis's age. When Luis is Carmen's age, their ages will add up to 112.
g(x)=3(x+8). What is the value of g(12)
A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 55.0 min at 100.0 km/h, 14.0 min at 65.0 km/h, and 45.0 min at 60.0 km/h and spends 20.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.

You might be interested in