The document discusses linear inequalities with one variable. It provides examples of inequalities such as 2x - 1 > 3 and 2x - 3 > 4x + 5. It then shows how to determine the solution set of each inequality by manipulating and solving the inequalities. Finally, it provides three practice problems for finding the solution set of additional inequalities.
1 of 8
More Related Content
Linear Equation With One Variable
1. BY Candida S.M (05) Fika Dahlia G.P . (11) Orryza Dwi J.A (19) Yeni Triastutik (29) Yunita Widyastuti (30) LIN EA R INEQUA LITY WITH ONE VARIABLE
2. The passing grade of the students is greater than or equal 60 It can be written as : n 60 LINEAR INEQUALITY WITH ONE VARIABLE
5. Determine the set of solution of the inequality 2x - 1 > 3. If x is variable of { -1, 0, 2, 4, 5, 9, 11} 2x 1 > 3 2x 1 +1 > 3 + 1 2x + 0 > 3 + 1 2x > 4 2x > 4 2 2 x > 2 The solution set of 2x 3 > 4x + 5 is { 4, 5 , 9 ,11 }
6. Determine the set of solution of the inequality 2x 3 > 4x + 5 If x is variable of { -8 , -7 , -6 , , 6 } SOLUTION 2x 3 > 4x + 5 2x 3 +3 > 4x + 5 +3 2x > 4x + 8 2x 4x > 4x 4x +8 - 2x > 8 - 2x < 8 -2 -2 x < - 4 The solution set of 2x 3 > 4x + 5 is { -8 , -7 , -6 , -5 }
7. Practice Find the solution set of the following inequalities: 1. y + 2 > 6 , y { 1 , 3 , 5 , 7 , 9 } 2. 2x 3 < 7 , x is prime numbers 3. z + 4 > 4z 5 , z is whole numbers