Respuesta :
Inequalities are used to compare unequal expressions.
The inequalities that will have -0.5, 2.5, and 4 in the solution set are A, B, and D.
What are inequalities?
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
In order to find the inequality that has -0. 5, 2. 5, and 4 as part of the solution set. we will discuss every inequality individually,
A.) Z > -3
In the given inequality, the solution set is every number from -2 to +∞. therefore, the solution set will have -0.5, 2.5, and 4 as solutions.
B.) X<5
In the given inequality, the solution set is every number from 4 to -∞. therefore, the solution set will have -0.5, 2.5, and 4 as solutions.
C.) Z<4
In the given inequality, the solution set is every number from 3 to -∞. therefore, the solution set will have -0.5, and 2.5 as its solution but will not contain 4 as the solution.
D.) Z≤4
In the given inequality, the solution set is every number from 4 to -∞. therefore, the solution set will have -0.5, 2.5, and 4 as solutions.
E.) Z>0
In the given inequality, the solution set is every number from -1 to -∞. therefore, the solution set will have -0.5 as the solution but will not have 2.5, and 4 as the solutions.
Hence, the inequalities that will have -0.5, 2.5, and 4 in the solution set are A, B, and D.
Learn more about Inequalities:
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