Linear Inequalities Class 11

Linear Inequalities class 11 – Two algebraic expressions or real numbers related by the symbol \(\leq, \;\geq , \;< , \;and\;>\) forms an inequality. For example: px + qy > 0, 9a – 21b < 0, etc. From an equality Equal numbers can be subtracted or added from both the sides of an equation. Also, both sides of an inequality can be divided or multiplied by the same number (non-zero).

  1. Solve \(4x + 3 < 6x +7\)

Solution: Given \(4x + 3 < 6x +7\)

Therefore, 3 – 7 < 6x – 4x or, 2x > – 4, i.e. x > -2

Hence, the solution of given inequality is (–2, ∞).

  1. Solve \(\frac{5-2x}{3}\leq \frac{x}{6}-5\)

Solution: Given \(\frac{5-2x}{3}\leq \frac{x}{6}-5\)

Therefore, \(10-4x\leq x-30\)

Or, \(-5x\leq -40\;\;or\;\;x\geq 8\)

Therefore, all real numbers equal to or greater than 8 are the solutions of the

given inequality i.e.\(x \in [8, \infty )\)

Linear Inequalities class 11 Examples

Linear Inequalities Class 11
Linear Inequalities Class 11
Linear Inequalities Class 11
Linear Inequalities Class 11
Linear Inequalities Class 11
Linear Inequalities Class 11


Practise This Question

If z1,z2 and z3,z4 are two pairs of conjugate complex numbers, then arg(z1z4)+arg(z2z3) equals