What value of x in the solution set of 2(3x – 1) ≥ 4x – 6?
2 answers:
First, you must distribute 2(3x-1).
To do that, you will multiply 2•3x, and 2•-1 because you are taking the number outside of the parentheses and multiplying (distributing) it to all the numbers inside
After distributing, the left side of your inequality will be 6x-2
Now you have
To find the value of x, you must subtract an x value from both sides of the equation, as well as a constant from each side.
so you have
And that will make the equation
Now, divide the variable side, ***BUT, because you are dividing by a negative number in an inequality, the inequality will switch sides.
Then, the value of x is greater than or equal to 2
To do that, you will multiply 2•3x, and 2•-1 because you are taking the number outside of the parentheses and multiplying (distributing) it to all the numbers inside
After distributing, the left side of your inequality will be 6x-2
Now you have
To find the value of x, you must subtract an x value from both sides of the equation, as well as a constant from each side.
so you have
And that will make the equation
Now, divide the variable side, ***BUT, because you are dividing by a negative number in an inequality, the inequality will switch sides.
Then, the value of x is greater than or equal to 2
You might be interested in
Both statements are true. Therefore (4,2) is a solution and option D is correct.
The given inequalities are and
.
We need to select the point that is a solution to the system of inequalities (-2,-1), (1,3), (2,1) and (4,2).
<h3>What is an example of a system of inequalities in real life?</h3>Inequalities can be seen in the speed limits on roads, the minimum age for seeing certain movies, and the distance you have to walk to go to the park. Inequalities represent a limit of what is permitted or achievable rather than a precise quantity.
Any point is a solution to this system of inequality if it satisfies both inequalities.
Check the inequalities by each option.
For (-2, -1), .
This statement is false because -1 is greater than -6. Therefore (-2,-1) is not a solution and option A is incorrect.
For (1, 3),
This statement is false because 3 is greater than 0. Therefore (1,3) is not a solution and option B is incorrect.
For (2,1), .
This statement is false because 1 is greater than -2. Therefore (2,1) is not a solution and option C is incorrect.
For (4,2),
Both statements are true. Therefore (4,2) is a solution and option D is correct.
To learn more about inequalities visit:
brainly.com/question/20383699.
#SPJ1
