Solve the inequality. 5+7x≥11x+3−4x5+7x≥11x+3−4x (1 point) Responses x≤−2x≤−2x is less than or equal to negative 2 No Solution No Solution x≤2x≤2x is less than or equal to 2 All real numbers
To solve the inequality, we can start by simplifying both sides:
5 + 7x ≥ 11x + 3 - 4x
Combine like terms:
7x + 4x - 11x ≥ 3 - 5
Simplify further:
0 ≥ -2
Since 0 is always greater than or equal to -2, the inequality holds true for all real numbers.
Therefore, the solution is: All real numbers.
To solve the inequality 5+7x≥11x+3−4x, we can start by simplifying both sides of the inequality.
On the left side of the inequality, we have 5 + 7x.
On the right side, we have 11x + 3 − 4x. Simplifying this expression, we get 7x + 3.
So now, our inequality becomes 5 + 7x ≥ 7x + 3.
Next, we can subtract 7x from both sides in order to isolate the variable x.
(5 + 7x) - 7x ≥ (7x + 3) - 7x
This simplifies to 5 ≥ 3.
Since 5 is indeed greater than or equal to 3, this means that the inequality is true for all values of x.
Therefore, the solution to the inequality 5+7x≥11x+3−4x is x ≤ 2.
In other words, x is less than or equal to 2.
So the correct response is: x ≤ 2.
To solve the inequality 5 + 7x ≥ 11x + 3 - 4x, we need to simplify the expression on both sides and isolate the variable x.
Starting with the left side, we combine like terms, which gives us:
5 + 7x = 12x
On the right side, we also combine like terms:
11x + 3 - 4x = 7x + 3
Now we have the simplified inequality:
12x ≥ 7x + 3
Next, we want to isolate the variable x on one side. To do this, we need to get rid of the 7x on the right side. We do this by subtracting 7x from both sides of the inequality:
12x - 7x ≥ 7x + 3 - 7x
5x ≥ 3
Now we have the inequality 5x ≥ 3. To solve for x, we divide both sides by 5:
(5x)/5 ≥ 3/5
x ≥ 3/5
So, the solution to the inequality is x ≥ 3/5.