Solve the inequality.
5+7x≥11x+3−4x
(1 point)
Responses
x≤−2
x is less than or equal to negative 2
No Solution
No Solution
All real numbers
All real numbers
x≤2
To solve the inequality, we can simplify both sides of the equation:
5 + 7x ≥ 11x + 3 - 4x
Combining like terms on the right side, we have:
5 + 7x ≥ 7x + 3
Subtracting 7x from both sides of the equation, we get:
5 ≥ 3
Since this statement is true, the inequality is satisfied for all real numbers. Therefore, the solution is "All real numbers."
To solve the inequality 5+7x≥11x+3−4x, we need to combine like terms and isolate the variable x on one side of the inequality.
First, let's simplify the inequality:
5 + 7x ≥ 11x + 3 - 4x
Combining like terms on both sides, we have:
5 + 7x ≥ 7x + 3
Next, let's isolate the variable x by subtracting 7x from both sides:
5 ≥ 3
Since the inequality 5 ≥ 3 is always true, the solution to the given inequality is x ≤ 2. This means that any value of x less than or equal to 2 will satisfy the inequality.
To solve the inequality 5+7x ≥ 11x+3−4x, we need to isolate the variable x on one side of the inequality sign. Here are the steps to solve it:
1. Combine like terms on both sides of the inequality:
5 + 7x ≥ 11x + 3 − 4x
Simplifying, we get:
5 + 7x ≥ 7x + 3
2. Get rid of any unnecessary terms by canceling them out:
Since we have 7x on both sides, we can subtract 7x from each side to eliminate them:
5 ≥ 3
3. Now we can determine the solution by comparing the values:
Since 5 is greater than or equal to 3, the inequality is always true.
Therefore, the solution to the inequality is x ≤ 2. This means that any value of x that is less than or equal to 2 will make the inequality true.