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Inequalities

  •  English    8     Public
    Students will determine whether adding, subtracting, multiplying or dividing rational number on both sides of the inequality will preserve or reverse inequality symbol.
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  • Given the initial inequality -4 < 7, state possible values for c that would satisfy the following inequality: c(-4) < c(7)
    Any positive rational number. Remember that zero is neither positive nor negative, so it cannot be included as a possible answer for this question.
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  • Given the initial inequality -4 < 7, state possible values for c that would satisfy the following inequality: c(-4) > c(7)
    Any negative rational number. Remember that zero is neither positive nor negative, so it cannot be included as a possible answer for this question.
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  • Given the initial inequality -4 < 7, state possible values for c that would satisfy the following inequality: c(-4) = c(7)
    0 (zero)
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  • If we multiply -2 by both sides of the inequality 2 > -4, will the inequality symbol be preserved or will it be reversed? What will the new inequality be after multiplying both sides by -2?
    Sign will be reversed and new inequality will be -4 < 8.
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  • If we add -2 by both sides of the inequality 2 > -4, will the inequality symbol be preserved or will it be reversed? What will the new inequality be after adding -2 to both sides?
    Sign will be preserved and new inequality will be 0 > -6.
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  • If we divide by 2 both sides of the inequality 2 > -4, will the inequality symbol be preserved or will it be reversed? What will the new inequality be after dividing both sides by 2?
    Sign will be preserved and new inequality will be 1 > -2.
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  • If we multiply -1/2 by both sides of the inequality 2 > -4, will the inequality symbol be preserved or will it be reversed? What will the new inequality be after multiplying both sides by -1/2 ?
    Sign will be reversed and new inequality will be -1 < 2.
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  • If we subtract -3 from both sides of the inequality 2 > -4, will the inequality symbol be preserved or will it be reversed? What will the new inequality be after subtracting -3 from both sides?
    Sign will be preserved, new inequality will be 5 > -1. When we subtract a negative number is like adding its opposite. So we add 3 to both sides actually.
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