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1-5 Solving Inequalities

1-5 Solving Inequalities. Is less than < Is greater than > Is less than or equal to < Is greater than or equal to > Is at most < Is at least >. Switch Order. Less than “-” Greater than “+”. Translate from verbal to mathematical.

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1-5 Solving Inequalities

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  1. 1-5 Solving Inequalities Is less than < Is greater than > Is less than or equal to < Is greater than or equal to > Is at most < Is at least > Switch Order Less than “-” Greater than “+”

  2. Translate from verbal to mathematical • The quotient of a number and 3 is no more than 15. • Four more than a number is less than 12. • The product of a number and -5 is greater than or equal to 10.

  3. Rules # # Graph on a number line • < > open circle • <> closed circle • > > shade right • < < shade left • If you multiply or divide by a negative, flip the inequality • If the variable is on the right side of the inequality, flip the inequality

  4. TOO: Solve and Graph 3) x > 2/3 4) r < 4 5) w > -3 1) x > 2 2) r < -2 • 8x – 6 > 10 • -16 – 8r > 0 • 9x – 11 > 6x – 9 • 9(2r – 5) – 3 < 7r – 4 • -36 – 2(w + 77) > -4(2w + 52) 2 0 0 -2 1 0 0 4 0 -3

  5. TOO: Always, Sometimes, Never 1) 1 + 2x < 2(x – 1) 1 < -2 FALSE NEVER 2) 4s + 3(2 – 3s) < 5(2 – s) 6 < 10 TRUE ALWAYS

  6. Final Thoughts • How would you graph an always true? • How would you graph a never true? • Homework • DeltaMath • Quiz Tomorrow!

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