-5(x - 4) ≥ 2(1 - x)
To solve the inequality, we can start by distributing the terms on both sides:
-5(x - 4) ≥ 2(1 - x)
-5x + 20 ≥ 2 - 2x
Next, we can combine like terms:
-5x + 20 ≥ 2 - 2x
-5x + 2x ≥ 2 - 20
-3x ≥ -18
Now, we can divide both sides of the inequality by -3. Since we are dividing by a negative number, the direction of the inequality sign will flip:
(-3x) / (-3) ≤ (-18) / (-3)
x ≤ 6
Therefore, the solution to the inequality is x ≤ 6.
To solve the inequality -5(x - 4) ≥ 2(1 - x), we will follow these steps:
Step 1: Simplify both sides of the inequality:
-5x + 20 ≥ 2 - 2x
Step 2: Combine like terms on both sides of the inequality:
-5x + 2x ≥ 2 - 20
-3x ≥ -18
Step 3: Divide both sides of the inequality by -3. Since we are dividing by a negative number, we need to reverse the inequality sign:
x ≤ -18 / -3
Step 4: Simplify the right side:
x ≤ 6
Therefore, the solution to the inequality -5(x - 4) ≥ 2(1 - x) is x ≤ 6.
To solve the inequality -5(x - 4) ≥ 2(1 - x), you can follow these steps:
1. Distribute the terms on both sides of the inequality:
-5x + 20 ≥ 2 - 2x
2. Simplify and combine like terms:
-5x + 20 ≥ 2 - 2x
-5x + 5x + 20 ≥ 2 - 2x + 5x
20 ≥ 2 + 3x
3. Simplify further:
20 ≥ 2 + 3x
20 - 2 ≥ 2 + 3x - 2
18 ≥ 3x
4. Divide both sides of the inequality by 3:
(18/3) ≥ (3x/3)
6 ≥ x
So, the solution to the inequality is x ≤ 6.