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
x≤2
x is less than or equal to 2
All real numbers
To solve the inequality, we can start by combining like terms on the right side of the equation:
5 + 7x ≥ 11x + 3 - 4x
Simplifying both sides, we have:
5 + 7x ≥ 7x + 3
Next, we want to isolate the variable x. We can do this by subtracting 7x from both sides:
5 ≥ 3
Since 5 is greater than or equal to 3, the inequality is true for all real numbers. Therefore, the solution is:
All real numbers (x ≥ -∞ to +∞)
To solve the inequality 5 + 7x ≥ 11x + 3 - 4x, we can start by simplifying each side of the equation.
On the left side, we have 5 + 7x.
On the right side, we have 11x + 3 - 4x.
Combining like terms on the right side gives us 7x + 3.
So, our inequality becomes 5 + 7x ≥ 7x + 3.
Next, we can subtract 7x from both sides to isolate the variable:
5 + 7x - 7x ≥ 7x + 3 - 7x.
Simplifying further, we get:
5 ≥ 3.
Since 5 is greater than or equal to 3, this inequality is always true.
Therefore, the solution to the inequality is all real numbers.
To solve the inequality 5+7x ≥ 11x + 3 - 4x, we need to simplify and isolate the variable on one side of the inequality symbol.
First, let's simplify both sides of the inequality:
Starting with the left side:
5 + 7x
Next, let's simplify the right side:
11x + 3 - 4x = 7x + 3
The inequality now becomes:
5 + 7x ≥ 7x + 3
Next, let's eliminate the 7x from both sides by subtracting 7x from each side of the inequality:
5 + 7x - 7x ≥ 7x + 3 - 7x
5 ≥ 3
Since 5 is not less than 3, this means that no matter what value we choose for x, the inequality is false. Thus, there is no solution to this inequality.
Therefore, the correct answer is "No Solution".