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Algebra questions

Please check the attachment. Thanks.

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1.

Use process of elimination
a) All integers less than 5 (5 is also represented on the number line right? so A is wrong)
b) All real numbers greater than 0 (do you see 6? so B is wrong)
c) All counting numbers less than 6
d) All irrational numbers between 1 and 5

c) is the ambiguous one, it could be right or wrong. you must check your textbook and see how your teacher teaches it.
c) could be wrong because sometimes 0 is no an counting number and sometimes is. If you book says 0 is a counting number then c) is wrong, otherwise c) is right.

d) is correct because any point in between the dots are irrational numbers.

2. Ambiguous. Counting number is 1,2,3..... or sometimes 0,1,2,3,..... The definition for whole numbers vary from book to book. Sometimes whole number is 1,2,3.... sometimes 0,1,2,3... sometimes ...-2,-1,0,1,2..... again you should check your textbook to verify. My answer is True because I regard both whole number and counting numbers as 0,1,2,3,.....

3. True. Rational numbers is in the form of m/n, 3/1 is rational number, and also an integer (3).

4. True. Absolute value of 12 is 12, absolute value of -11 is 11.

5. 3/4 + 1/6 = 9/12 + 2/12 = 11/12

6. 0.59 + (-3.4) = 0.59 - 3.4 = -2.81

7. - 3x + 12 + 5x - 9 = 2x + 3

8. - 9w - 54 = 0 => -9w = 54 => w = -6

9. 0.4x - 1.6 = 0.6x => -1.6 = 0.2x => -16 = 2x => x = -8

10. 5x - 9 = x -4 => 4x = 5 => x = 5/4

11. -2 (x - b) - (5a - x) = a + b
-2x +2b -5a + x = a +b
-x = 6a ...

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