Solve 4x − 6 ≤ 2
Linear inequality, worked out line by line the way a teacher would write it.
Answer
| Solution | x ≤ 2 |
| Interval notation | (−∞, 2] |
Step-by-step solution
4 steps-
1 Given4 x - 6 \le 2
Solve for x.
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2 Add 6 to both sides
Like an equation, an inequality stays true when the same amount is added to or subtracted from both sides. Only multiplying or dividing by a negative number needs extra care: it reverses the sign.
4 x \le 8Move the constant terms to the right.
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3 Divide both sides by 4x \le 2
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4 Solutionx \le 2\qquad \left( -\infty, 2 \right]
Check with test values
| x | Left side | Right side | Holds? |
|---|---|---|---|
| 1 | −2 | 2 | ✓ true |
| 3 | 6 | 2 | ✗ false |
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