Ch.3 Equations & inequalities Flashcards

1
Q

how can linear simultaneous equations be solved?

A

either elimination or substitution

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2
Q

what is the solution of an inequality?

A

the set of real numbers that make the inequality true

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3
Q

using set notations how would you write when x is greater than 2.75?

A

{x:x>2.75}

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4
Q

in set notation what are the two ways that x > -2 and x < 4?

A

{x: -2 < x < 4}

{x: x > -2} ∩ {x: x < 4}

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5
Q

in set notation how would you write if x < -1 or x > 3?

A

{x: x < -1} ∪ {x: x > 3}

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6
Q

if two sets of values overlap ( intersect ) where -2 < x < 6.5 how would you write it in set notation?

A

{x: -2 < x < 6.5}

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7
Q

if there is no overlap between the two sets of values when x < 2 and x > 3 how would you write it in set notation?

A

{x: x < 2} ∪ {x: x > 3}

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