Question

2. Solve the inequation and graph the solution on the number line :
65-3(2x - 4) < 12, where x e R

Answer 1

Answer:

2 ≥ 2x > 0. ⇒1 ≥ x > 0. Thus, the solution set for the given inequalityis (0, 1]. Concept: Algebraic Solutions of Linear Inequalities in One Variable and Their ...

Missing: graph ‎number ‎line ‎:65-3( ‎xe

Step-by-step explanation:

Answer 2

Answer :-

• The required number is -6 5/6.

What to do?

• Solve the inequation and graph the solution on the number line :- 65 - 3 (2x - 4) < 12.

Step-by-step explanation :-

Given that :-

• 65 - 3(2x - 4) < 12

Let's solve it!

$\longrightarrow \sf 65 - 3(2x - 4) < 12$

$\longrightarrow \sf 65 - 6x - 12 < 12$

$\longrightarrow \sf 65 - 6x < 12 + 12$

$\longrightarrow \sf 65 - 6x < 24$

$\longrightarrow \sf - 6x < 24 - 65$

$\longrightarrow \sf - 6x < - 41$

$\longrightarrow \sf x < \dfrac{- 41}{\:\:6} \: \: or \: \: 6 \dfrac{-5}{\:\:6}$

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• Note :- Refer to the attachment for the solution on the number line.