Solve the following inequality using both the graphical and algebraic approach:
1 answer:
x ≥ 8
Step-by-step explanation:
Given the inequality as;
8-x≥5(8-x)
Solving using the algebraic approach
8-x≥5(8-x) ----open brackets
8-x ≥ 40 -5x -----collect like terms
-x+5x ≥ 40-8
4x ≥ 32 ------divide both sides by 4
x ≥ 8
Graphically, see attached graph
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Solving inequalities by graph;brainly.com/question/11234618
Keywords : inequality, graphical, algebraic
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Answer:
We consider a triangle ABC as attached in the answer.
We draw a line parallel to AB that passes through point C.
Angles C and C' are vertical angles, therefore ∠C = ∠C'.
Angles B and B' are corresponding angles, therefore ∠B = ∠B'.
Angles A and A' are corresponding angles, therefore ∠A = ∠A'.
it can be seen that angle sum ∠A + ∠B + ∠C is equal to the angle sum ∠A' + ∠B' + ∠C'.
The three angles A', B', and C' form together a straight angle so, their angle sum is 180°. But then the angle sum ∠A + ∠B + ∠C must also be 180°.
This proofs that sum of angles of a triangle is equal to 180.
