−3x−7≥−10
To solve the inequality −3x−7≥−10, we need to isolate x on one side of the inequality.
First, we can add 7 to both sides of the inequality to get:
−3x−7+7≥−10+7
−3x≥−3
Next, we divide both sides of the inequality by −3. However, when we multiply or divide both sides by a negative number, we need to reverse the inequality sign. Therefore, we have:
−3x/−3≤−3/−3
x≤1
The solution to the inequality is x ≤ 1.
To solve the inequality -3x - 7 ≥ -10, follow these steps:
Step 1: Move the constant term to the right side of the inequality.
-3x - 7 + 7 ≥ -10 + 7
-3x ≥ -3
Step 2: Divide both sides of the inequality by the coefficient of x, which is -3. Remember to flip the inequality sign since we are dividing by a negative number.
(-3x)/(-3) ≤ (-3)/(-3)
x ≤ 1
Therefore, the solution to the inequality -3x - 7 ≥ -10 is x ≤ 1.