Solve the inequality.
5+7x≥11x+3−4x (1 point)
Responses
x≤−2x is less than or equal to negative 2
All real numbers
All real numbers
x≤2x is less than or equal to 2
No Solution
To solve the inequality 5 + 7x ≥ 11x + 3 − 4x, we can simplify it by combining like terms on both sides:
5 + 7x ≥ 11x + 3 - 4x
Combine the x terms on the right side:
5 + 7x ≥ 7x + 3
Subtract 7x from both sides:
5 ≥ 3
Since 5 is greater than 3, this inequality holds true. Therefore, the solution is:
All real numbers
To solve the inequality 5 + 7x ≥ 11x + 3 - 4x, we need to simplify both sides and isolate the variable x.
Starting with the left side, we have:
5 + 7x
And on the right side, we have:
11x + 3 - 4x
Combining like terms on the right side, we get:
7x + 3
Now, let's rewrite the inequality with the simplified expressions:
5 + 7x ≥ 7x + 3
Next, we want to isolate the variable x. To do this, we can subtract 7x from both sides:
5 + 7x - 7x ≥ 7x + 3 - 7x
Simplifying further, we get:
5 ≥ 3
Since 5 is greater than or equal to 3, this is always true. Therefore, the solution is:
All real numbers (x ≤ 2x is less than or equal to 2)
To solve the inequality, we need to simplify both sides of the equation and isolate the variable x.
Starting with the left side:
5 + 7x
And the right side:
11x + 3 - 4x
Combining like terms on both sides, we have:
5 + 7x ≥ 11x + 3 - 4x
Simplifying further:
5 + 7x ≥ 7x + 3
Subtracting 7x from both sides:
5 ≥ 3
Since 5 is always greater than or equal to 3, this inequality is true for all real numbers of x.
Therefore, the solution is "All real numbers".