![]() I did not include interval notation as I would need to include the concept of infinity. Adding these with inequalities would definitely increase the difficulty levels.įor cases like -1 ≤ 10 you do not necessarily need ≤ when < is enough. Natural extensions would include multiplication, division, fractions, exponents, square roots and more. Q3) (7 + 5) ≤ (20 - 8) or (7 + 5) ≥ (20 - 8) or 12 ≤ 12Īnother Aligator Learning Aid For Inequalities Notesįor simplicity, the exercise problems deal with addition and subtraction. The math notation would be (7 + 11) ≥ 15 or 18 ≥ 15.įor questions 1 to 5, use the less than sign (≤) or the greater than sign (≥) when filling in the blanks. In the previous section there was the inequality 7 20.Īdding the numbers 7 and 11 gives 18 which is greater than or equal to 15. The symbol for the less than or equal to sign is ≤ and the greater than or equal sign to is indicated by ≥. The numbers can be equal on top of being either less than or greater than. Q5) 10 _ 2 _ -1 Less Than Or Equal To Signs & Greater Than Or Equal To SignsĪn extension of the above cases would be adding on an equal sign. A negative number that is more negative is father away from zero.įor questions 1 to 5, use the less than sign () when filling in the gray area. ![]() When dealing with numbers, remember that the negative number closest to zero is the larger number. Another way to look at it is that the symbols is like a mouth where the smaller number tries to eat the bigger number (see image below). An integer is greater than another integer if the first integer is to the right of the second integer on the number line. You can look at these inequality symbols like arrows where the larger number "points" at the smaller number. With the less than sign ) we deal with quantities that are not equal. Determine which number is greater than less than or equals. Now divide each part by 2 (a positive number, so again the inequalities dont change): 6 < x < 3. If you were just going to show x3, you would put a closed dot on 3. As far as the open and closed circle, the best way is to understand what it really means. Now subtract 6 from each part: 12 < 2x < 6. If you have a line underneath ( or ) you have to add the phrase or equal to, so is greater than or eqaul to and is less than or equal to. Because we are multiplying by a positive number, the inequalities dont change: 6 < 62x < 12. The Less Than Sign & The Greater Than Sign The numbers on a number line are placed sequentially at equal distances along its length. First, let us clear out the '/3' by multiplying each part by 3. Less Than Or Equal Signs & Greater Than Or Equal Signs. ![]()
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