Activities 1.Find the smallest integer that satisfies the following inequalities: a) 3 – 4x ≤ 11 b) 4 + 2x >9 c) ( 7 + 2x ) : ( -3) < 3 2. List the positive integers that satisfy the following inequality : 37 – 5x > 17 3. Solve the following inequalities...
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Activities 1.Find the smallest integer that satisfies the following inequalities: a) 3 – 4x ≤ 11 b) 4 + 2x >9 c) ( 7 + 2x ) : ( -3) < 3 2. List the positive integers that satisfy the following inequality : 37 – 5x > 17 3. Solve the following inequalities and illustrate the solution on a number line: a)10 -2 ( x – 3 ) ≤ 3x + 1 b) 6x – ( 1-2x ) < 13 + x c) 5x –2( 1 - 3/2x ) < 6 + 3 (2x – 1) d) x + 10 ≤ 5 – x ≤11 e) 5/2 < ½ (x + 2) < 7 Give the smallest and largest integers that satisfy the last inequality(e) Answers: 1. a) x ≥ -2 smallest integer : -2 b) x >2.5 smallest integer : 3 c) x > -8 smallest integer : -7 ( 7 + 2x ) : ( -3) < 3 ( 7 + 2x ) > 3.(-3) 2x > -9-7 x > -16: 2 x > -8 2. x<4 Answer : 1,2,3.
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