Solve-3left-x-1right-le-2left-x-3right- when x is a natural number-

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Toppr Admin · Accepted Answer

3-x-x2212-1-x2264-2-x-x2212-3-x21D2-3x-x2212-3-x2264-2x-x2212-6-x21D2-3x-x2212-3-3-x2264-2x-x2212-6-3-x21D2-3x-x2264-2x-x2212-3-x21D2-3x-x2212-2x-x2264-2x-x2212-3-x2212-2x-x21D2-x-x2264-x2212-3-x2234-x-x2208-x3D5-

Solve: $3 (x - 1) \leq 2 (x - 3)$ when $x$ is a natural number.

$3 (x - 1) \leq 2 (x - 3)$
$\Rightarrow 3 x - 3 \leq 2 x - 6$
$\Rightarrow 3 x - 3 + 3 \leq 2 x - 6 + 3$
$\Rightarrow 3 x \leq 2 x - 3$
$\Rightarrow 3 x - 2 x \leq 2 x - 3 - 2 x$
$\Rightarrow x \leq - 3$
$∴ x \in ϕ$

Solve:3(x−1)≤2(x−3) when x is a natural number.

3(x−1)≤2(x−3)⇒3x−3≤2x−6⇒3x−3+3≤2x−6+3⇒3x≤2x−3⇒3x−2x≤2x−3−2x⇒x≤−3∴x∈ϕ

Solve: $3 (x - 1) \leq 2 (x - 3)$ when $x$ is a natural number.

$3 (x - 1) \leq 2 (x - 3)$
$\Rightarrow 3 x - 3 \leq 2 x - 6$
$\Rightarrow 3 x - 3 + 3 \leq 2 x - 6 + 3$
$\Rightarrow 3 x \leq 2 x - 3$
$\Rightarrow 3 x - 2 x \leq 2 x - 3 - 2 x$
$\Rightarrow x \leq - 3$
$∴ x \in ϕ$