Q1
If $x + 3 < 7$, then:
📝 SolutionSubtract 3 from both sides: $x < 4$.
Q2
When both sides of an inequality are multiplied by a negative number, the inequality sign:
📝 SolutionMultiplying or dividing an inequality by a negative number reverses the direction of the inequality sign.
Q3
The solution of $2x > 6$ is:
📝 SolutionDivide both sides by 2 (positive), keeping the sign: $x > 3$.
Q4
If $-2x < 8$, then:
📝 SolutionDivide by $-2$ and reverse the sign: $x > -4$.
Q5
The graphical solution of a linear inequality in two variables is:
📝 SolutionA linear inequality like $x + y < 5$ is satisfied by all points on one side of the line, i.e. a half-plane.
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Class 11 · Maths
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