Solve the following inequation- 2 x-1-3-3 x-2-5-4 MARKS-

Steps: 2 Marks calculations: 1 Mark Answer: 1 Mark 2x+1/3≥3x 2/5 ⇒ 5(2x+1) ≥ 3(3x 2) ⇒ 10x+5≥ 9x 6 ⇒ 10x 9x≥ 6 5 ⇒ x ≥ 11 So, the solution set is { x :x ϵ R ...

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Standard X

Mathematics

Roots of Quadratic Equation

Solve the fol...

Question

Solve the following inequation: $\frac{2 x + 1}{3} \geq \frac{3 x - 2}{5}$
[4 MARKS]

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Solution

Steps: 2 Marks
calculations: 1 Mark
Answer: 1 Mark

$\frac{2 x + 1}{3} \geq \frac{3 x - 2}{5} \Rightarrow 5 (2 x + 1) \geq 3 (3 x - 2) \Rightarrow 10 x + 5 \geq 9 x - 6 \Rightarrow 10 x - 9 x \geq - 6 - 5 \Rightarrow x \geq - 11$
So, the solution set is ${x : x ϵ R, x \geq - 11}$

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Solve the following inequation: 2x+13≥3x−25 [4 MARKS]

Steps: 2 Marks calculations: 1 Mark Answer: 1 Mark 2x+13≥3x−25⇒5(2x+1)≥3(3x−2)⇒10x+5≥9x−6⇒10x−9x≥−6−5⇒x≥−11 So, the solution set is {x:xϵR,x≥−11}

Solve the following inequation: $\frac{2 x + 1}{3} \geq \frac{3 x - 2}{5}$
[4 MARKS]

Steps: 2 Marks
calculations: 1 Mark
Answer: 1 Mark

$\frac{2 x + 1}{3} \geq \frac{3 x - 2}{5} \Rightarrow 5 (2 x + 1) \geq 3 (3 x - 2) \Rightarrow 10 x + 5 \geq 9 x - 6 \Rightarrow 10 x - 9 x \geq - 6 - 5 \Rightarrow x \geq - 11$
So, the solution set is ${x : x ϵ R, x \geq - 11}$