Subjects algebra

Integer And Number Line

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1. The problem asks which of the given numbers is not an integer. - An integer is a whole number without fractions or decimals. - The options are: A: -5, B: 0, C: 1.7, D: 4. - Among these, 1.7 has a decimal part, so it is not an integer. Answer: C 1.7 2. The problem shows a number line with points P, 0.15, 0.75, Q, and R in order from left to right. - P is to the left of 0.15, so P < 0.15. - Q is to the right of 0.75, so Q > 0.75. - R is to the right of Q, so R > Q. Check each option: A: P = -0.75 (< 0.15), Q = 1.25 (> 0.75), R = 2.75 (> 1.25) ✓ B: P = 0 (not less than 0.15, but equal or less is acceptable), Q = 1 (> 0.75), R = 1.25 (> 1) ✓ C: P = -0.15 (< 0.15), Q = 1.05 (> 0.75), R = 1.65 (> 1.05) ✓ D: P = -2.25 (< 0.15), Q = 1.75 (> 0.75), R = 3.25 (> 1.75) ✓ All options satisfy the inequalities, but the number line shows P close to 0.15, so the most reasonable values are those closest to the marks. Since P is just before 0.15, option C with P = -0.15 fits best. Answer: C Final answers: 1. C 1.7 2. C -0.15, 1.05, 1.65