Solve the Linear Inequality: 4x+3 ≥ 11 Step-by-Step

Only when multiplying or dividing by a negative number! Since we divided by positive 4, the inequality direction stays the same: $\geq$ remains $\geq$.

The steps are exactly the same as solving equations! The only difference is you must flip the inequality sign if you multiply or divide by a negative number.

It means x can equal 2 or be greater than 2. On a number line, draw a filled circle at 2 and shade everything to the right.

Yes! Pick any value that satisfies your answer. Try x = 3: $4(3) + 3 = 15 \geq 11$ ✓. Also test the boundary: x = 2 gives exactly 11.

Double-check your arithmetic! From $4x \geq 8$, dividing by 4 gives $x \geq 2$, not negative 2. Always verify each step carefully.