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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

1. Writing and Graphing Inequalities

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Exercise 5 Page 55

Substitute -6 into the given inequality and then simplify.

Yes

Practice makes perfect

We can determine whether -6 is a solution by substituting it into the inequality and simplifying using the order of operations.

21÷ x≥-3.5

x= - 6

21\div{\color{#0000FF}{(\text{-}6)}} \stackrel{?}\geq \text{-} 3.5

a÷ b=a/b

\dfrac{21}{(\text{-}6)}\stackrel{?}\geq \text{-} 3.5

▼

LHS * (-6)=RHS* (-6)

LHS * (-6)=RHS* (-6)

\dfrac{21}{\text{-}6}\cdot(\text{-}6)\stackrel{?}\geq \text{-} 3.5\cdot(\text{-}6)

FracMultDenomToNumber

a/(-6)* (-6) = a

21\stackrel{?}\geq \text{-} 3.5(\text{-}6)

MultNegNegOnePar

- a(- b)=a* b

21≥21

Since 21 is equal to 21, -6 is a solution to the inequality.

Subchapter links

Communicate Your Answer p.53

Monitoring Progress p.54-57

Exercises p.58-60