Solve the inequalities real x-3-x - 1- -leq- 2 -x- 3-

Question

Toppr Admin · Accepted Answer

Given- 3-x-x2212-1-x2264-2-x-x2212-3-x21D2-3x-x2212-3-x2264-2x-x2212-6-x21D2-3x-x2212-2x-x2264-x2212-6-3-x21D2-x-x2264-x2212-3-x21D2-x-x2208-x2212-x221E-x2212-3-

Solve the inequalities for real $x$ .
$3 (x - 1) \leq 2 (x - 3)$

Given, $3 (x - 1) \leq 2 (x - 3)$
$\Rightarrow 3 x - 3 \leq 2 x - 6$
$\Rightarrow 3 x - 2 x \leq - 6 + 3$
$\Rightarrow x \leq - 3$
$\Rightarrow x \in (- \infty, - 3]$

Solve the inequalities for real x.3(x−1)≤2(x−3)

Given, 3(x−1)≤2(x−3)⇒3x−3≤2x−6⇒3x−2x≤−6+3⇒x≤−3⇒x∈(−∞,−3]

Solve the inequalities for real $x$ .
$3 (x - 1) \leq 2 (x - 3)$

Given, $3 (x - 1) \leq 2 (x - 3)$
$\Rightarrow 3 x - 3 \leq 2 x - 6$
$\Rightarrow 3 x - 2 x \leq - 6 + 3$
$\Rightarrow x \leq - 3$
$\Rightarrow x \in (- \infty, - 3]$