Solve the linear inequality. Express the solution using interval notation.
8 − 3x ≤ −7
To solve the inequality 8 - 3x ≤ -7, we can start by isolating the variable x.
Start by subtracting 8 from both sides of the inequality:
8 - 3x - 8 ≤ -7 - 8
-3x ≤ -15
Next, divide both sides of the inequality by -3. Remember that when dividing by a negative number, the inequality sign needs to be flipped:
(-3x)/-3 ≥ (-15)/-3
x ≥ 5
So the solution to the inequality 8 - 3x ≤ -7 is x ≥ 5.
In interval notation, this can be expressed as [5, ∞).
To solve the inequality 8 - 3x ≤ -7, we can start by isolating the variable x.
Step 1: Subtract 8 from both sides of the inequality to get rid of the constant term on the left side:
-3x ≤ -15
Step 2: Divide both sides of the inequality by -3. Remember to reverse the inequality when dividing by a negative number:
x ≥ 5
Therefore, the solution to the inequality is x ≥ 5. In interval notation, we express this as [5, +∞).