/Tag: Inequalities
20 07, 2017

Inequalities

By |2019-03-04T13:55:11+10:00July 20th, 2017|Tags: , , |0 Comments

Induction: Inequalities Go to the Forum to see more questions or ask your own Worked examples Show by induction that 3n ≥ 2n + 5 for n > 1. Show true for n = 2 LHS = 32             RHS = 2(2) + 5 = 9      [...]

10 10, 2016

Inequalities

By |2016-11-02T10:19:32+10:00October 10th, 2016|Tags: , |0 Comments

Inequalities Remember when dividing or multiplying by a negative to swap the sign. Remember when sketching inequalities: ◊ if it is ≤ or ≥ , then the circles must be filled ◊ if it is < or > ,  the the circles must be open worked examples further examples [...]

23 08, 2015

Inequalities

By |2016-10-21T13:17:10+10:00August 23rd, 2015|Tags: , , |0 Comments

Inequalities worked examples Solve 5x + 6 > x + 18.  5x - x + 6 > x - x + 18 4x + 6 > 18 we need to gather the x's on one side (usually the left side) and the numbers on the right start by subtracting x from both [...]

19 08, 2015

Unknown Denominator

By |2019-04-07T16:31:17+10:00August 19th, 2015|Tags: , , |0 Comments

Unknown Denominator Go to the Forum to see more questions or ask your own Worked examples Solve $$\frac1{7-3x}<1$$ and graph your solution on the number line. $$(7-3x)^2\times \frac{1}{7-3x}<1(7-3x)^2$$ multiply both sides by the denominator squared doing this avoids any issues with negative numbers and the direction of the inequality, as square [...]

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