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How do you solve and write the following in interval notation: #2x + 6>=8#?

Answer 1

Avery Alexander

#[1,+oo)#

#"isolate 2x by subtracting 6 from both sides"#

#2xcancel(+6)cancel(-6)>=8-6#

#rArr2x>=2#

#"divide both sides by 2"#

#rArrx>=1" is the solution"#

#[1,+oo)larrcolor(blue)"in interval notation"#

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Answer 2

Eli Assouline

To solve and write the inequality 2x + 6 ≥ 8 in interval notation:

Subtract 6 from both sides to isolate the variable: 2x + 6 - 6 ≥ 8 - 6 2x ≥ 2
Divide both sides by 2 to solve for x: 2x/2 ≥ 2/2 x ≥ 1
Write the solution in interval notation: [1, ∞)

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you solve and write the following in interval notation: #2x + 6&gt;=8#?

How do you solve and write the following in interval notation: #2x + 6>=8#?