KnowledgeBoat Logo
|

Mathematics

Solve : 2(x – 2) < 3x – 2, x ∈ { –3, –2, –1, 0, 1, 2, 3} .

Linear Inequations

89 Likes

Answer

Given,

2(x–2)<3x–2⇒2x–4<3x–2⇒2x–3x<–2+4⇒–x<2⇒x>–22(x – 2) \lt 3x – 2 \\[0.5em] \Rightarrow 2x – 4 \lt 3x – 2 \\[0.5em] \Rightarrow 2x – 3x \lt – 2 + 4 \\[0.5em] \Rightarrow – x \lt 2 \\[0.5em] \Rightarrow x \gt – 2 \\[0.5em]

Solution set = {–1, 0, 1, 2, 3} .

Answered By

59 Likes

Related Questions