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3 votes
Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

what way do you shade in

2 Answers

6 votes

Answer:

x < = -1/2 or -0.5

Explanation:

that's the answer

User Chamila Chulatunga
by
8.1k points
2 votes
2x - 6 > = 6(x - 2) + 8...distribute thru the parenthesis
2x - 6 > = 6x - 12 + 8...simplify
2x - 6 > = 6x - 4...subtract 6x from both sides
2x - 6x - 6 > = 6x - 6x - 4...simplify
-4x - 6 > = -4 ...add 6 to both sides
-4x - 6 + 6 > = -4 + 6...simplify
-4x > = 2...divide both sides by -4, change the inequality sign
x < = -2/4
x < = -1/2 or -0.5

so u would have a solid circle (because of ur equal sign) on -1/2...and the shading would go to the left (because less then goes to the left)

** the reason the inequality sign was changed is because when multiplying/dividing by a negative, u have to flip the sign...but dont forget to keep the = sign in there
User Kolar
by
8.5k points

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