Solve 5x − 3 < 2
Linear inequality, worked out line by line the way a teacher would write it.
Answer
| Solution | x < 1 |
| Interval notation | (−∞, 1) |
Step-by-step solution
4 steps-
1 Given5 x - 3 < 2
Solve for x.
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2 Add 3 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.
5 x < 5Move the constant terms to the right.
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3 Divide both sides by 5x < 1
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4 Solutionx < 1\qquad \left( -\infty, 1 \right)
Check with test values
| x | Left side | Right side | Holds? |
|---|---|---|---|
| 0 | −3 | 2 | ✓ true |
| 2 | 7 | 2 | ✗ false |
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