–11 ≥ –1 – 2x
ok so first you will add 1 to the -1 and cross that out. then you do that to the opposite side which is -11+1 = -10. the problem now looks like -10≥-2x. then you divide -2x/-2 and do that to the opposite side. -10/-2. since you're dividing by a negative you need to switch the sign. it would be 5≤x
To solve the inequality -11 ≥ -1 - 2x, we can begin by simplifying and then isolate the variable x.
First, let's combine like terms on the right side of the inequality:
-11 ≥ -1 - 2x
-11 ≥ -1 + (-2x)
-11 ≥ -1 - 2x
Next, let's simplify the right side further:
-11 ≥ -1 - 2x
-11 ≥ -1 - 2x
-11 + 1 ≥ -2x
-10 ≥ -2x
To isolate the variable x, we divide both sides of the inequality by -2. Remember that whenever you multiply or divide an inequality by a negative number, the inequality sign flips:
-10 ≥ -2x
(-10)/(-2) ≤ x
5 ≤ x
Thus, we have x ≥ 5 as the solution to the inequality -11 ≥ -1 - 2x.
To solve the inequality –11 ≥ –1 – 2x, we need to isolate the variable x. Here's how:
Step 1: Remove any parentheses by using the distributive property if necessary. In this case, there are no parentheses.
Step 2: Combine like terms on both sides of the inequality. On the right side, -1 is already simplified. On the left side, there are no like terms to combine.
-11 ≥ -1 - 2x
Step 3: Move -1 to the other side of the inequality by adding 1 to both sides.
-11 + 1 ≥ -1 + 1 - 2x
-10 ≥ -2x
Step 4: Divide both sides of the inequality by -2, remembering to flip the inequality sign if dividing by a negative number.
(-10) / (-2) ≤ (-2x) / (-2)
5 ≥ x
The solution to the inequality is x ≤ 5.