Grade 9 / inequalities 7 exercises (100% corrected)

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-8-7-6-5-4-3-2-1012345678AB -8-7-6-5-4-3-2-1012345678AB -8-7-6-5-4-3-2-1012345678 -8-7-6-5-4-3-2-1012345678AB -8-7-6-5-4-3-2-1012345678AB 1. Unclassified exercises E.2088 We note x the number of students in a class who had the average on the last French test. Each sentence below describes a different situation. For each of them, write an inequality verified by the number x . 1 At least 10 people scored higher than 10 . 2 At least 13 people got the average. 3 No more than 9 people had the average. 4 No more than 15 people scored above 8 . E.6434 Consider the graduated line shown below : We denote a and b the respective abscissas of the points A and B . 1 Compare the abscissas of points A and B . 2 Consider the points A and B with respective abscissas : a +3 ; b +3 Compare the abscissas of the points A and B . 3 Consider the points A and B of abscissa : a 2 ; b 2 Compare the abscissas of points A and B . E.5662 Consider two numbers a and b such that a<b . For each question, complete the blanks to compare the pairs of numbers shown : a a +2 ::: b +2 b a 4 ::: b 4 c a + 1 2 ::: b + 1 2 d a ı ::: b ı E.5664 Let x be an indeterminate number. a Si x +2 > 5 then x>::: b Si x 5 > 0 then x>::: c Si x +4 < 2 then x<::: d Si x 2 < 6 then x<::: E.6435 On a graded line, consider two points A and B whose abscissas a and b are noted. 1 Consider the scaled line below : a Compare the abscissas of points A and B . b Place the points A and B with abscissas 2 × a and 2 × b , respectively, on the graduated line below. c Compare the abscissas of points A and B . 2 Consider the scaled line below : a Compare the abscissas of points A and B . b Place the points A and B with abscissas 2 × a and 2 × b , respectively, on the graduated line below. c Compare the abscissas of points A and B . 3 Consider the scaled line below : a Compare the abscissas of points A and B . b Place the points A and B with abscissas a and b , respectively, on the graduated line below. c Compare the abscissas of points A and B . 4 Consider the scaled line below : a Compare the abscissas of points A and B . b Place the points A and B with abscissas a and b , respectively, on the graduated line below. c Compare the abscissas of points A and B . E.5663 Consider a and b two numbers such that a<b . For each question, complete the blanks to compare the two proposed numbers : a 2 a : : : 2 b b 3 a : : : 3 b c 1 2 a : : : 1 2 b d 3 2 a : : : 3 2 b E.2066 Consider a number x indeterminate, but verifying the following inequality: x > 4 . For each question, three statements are proposed, only one of which is correct. Specify which ones : a b c 1 x +2 < 6 x +2 > 6 x +2 < 4 2 2 x > 2 2 x < 8 2 x > 8 3 0.5 x < 2 0.5 x > 2 0.5 x > 2 4 2 x +1 < 9 2 x +1 > 9 2 x +1 < 1.5 5 1 x < 3 1 x > 3 1 x < 3 https://chingmath.fr chapExoCorrec/2088 sacados/2088 chapExoCorrec/6434 sacados/6434 -8-7-6-5-4-3-2-1012345678AB chapExoCorrec/5662 sacados/5662 chapExoCorrec/5664 sacados/5664 chapExoCorrec/6435 sacados/6435 -8-7-6-5-4-3-2-1012345678AB -8-7-6-5-4-3-2-1012345678 -8-7-6-5-4-3-2-1012345678AB -8-7-6-5-4-3-2-1012345678 -8-7-6-5-4-3-2-1012345678AB -8-7-6-5-4-3-2-1012345678 -8-7-6-5-4-3-2-1012345678AB -8-7-6-5-4-3-2-1012345678 chapExoCorrec/5663 sacados/5663 chapExoCorrec/2066 sacados/2066