Solve the inequality.
5+7x≥11x+3−4x
(1 point)
Responses
No Solution
No Solution
x≤2
x is less than or equal to 2
All real numbers
All real numbers
x≤−2
To solve the inequality, we can first combine like terms on both sides:
5 + 7x ≥ 11x + 3 - 4x
Simplifying further:
5 + 7x ≥ 7x + 3
Next, we can subtract 7x from both sides to isolate the variable:
5 ≥ 3
This is a true statement, which means that the inequality is true for all values of x. Therefore, the solution is "All real numbers".
To solve the inequality, we can start by simplifying both sides of the equation.
Starting with the left side:
5 + 7x
And the right side:
11x + 3 - 4x
Combine like terms:
5 + 7x ≥ 11x + 3 - 4x
Simplify further:
5 + 7x ≥ 7x + 3
Next, we can isolate the variable x by subtracting 7x from both sides of the inequality:
5 ≥ 3
Since 5 is greater than or equal to 3, this statement is true regardless of the value of x.
Therefore, the solution is: All real numbers.
To solve the inequality 5+7x≥11x+3−4x, we need to simplify the expression and then isolate the variable x.
First, let's combine like terms on both sides of the inequality:
5 + 7x ≥ 11x + 3 - 4x
On the left side, 5 does not have any x term, so it remains as is.
On the right side, we have 11x and -4x. Adding them together gives us 7x.
The 3 does not contain an x term, so it remains as is.
Simplifying further, we get:
5 + 7x ≥ 7x + 3
Now let's isolate the variable x by getting rid of the 7x on the right side.
Subtracting 7x from both sides of the inequality, we get:
5 ≥ 3
This inequality is always true since 5 is greater than or equal to 3.
Therefore, the solution to the inequality 5+7x≥11x+3−4x is all real numbers.
In other words, x can be any real number.
The correct response is:
All real numbers