--DEFINITION--
First, understand this: You solve a linear inequality almost exactly like you solve a linear equation.
--SUGGESTED STEPS--
5(x - 1) ≤ 3x + 10
Step 1: Simplify each side, just like with equations.
Distribute: 5(x - 1) becomes 5x - 5.
5x - 5 ≤ 3x + 10
Step 2: Get the Variable Terms to One Side
Use addition or subtraction to move all the variable terms (e.g., 3x, -5x) to one side of the inequality.
Example: 5x - 5 ≤ 3x + 10 → Subtract 3x from both sides
2x - 5 ≤ 10
Step 3: Isolate the Variable Term
Use addition or subtraction to move constant numbers to the other side.
Continuing: 2x - 5 ≤ 10 → Add 5 to both sides → 2x ≤ 15.
2x ≤ 15
Step 4: Isolate the Variable
Use multiplication or division to get x by itself.
2x ≤ 15 → Divide by 2 →
x ≤ 7.5.
Remember: If you divide by a negative, FLIP THE SIGN.
Follow these steps for one of these questions I have done (m)
--WORKSHEETS--