Yes , s = - 6 is the solution of the given inequality 3s ≤ 19 .
- When two real numbers or algebraic expressions are related by the symbols '>', '<', '≥', '≤', the relationship is called an inequality.
- In algebra, an inequality is a mathematical statement that uses the inequality symbol to show the relationship between two expressions.
- A solution set is a set of values that satisfy a given inequality. This means that all values in the solution set satisfy the inequality and other values do not.
If s = - 6 is the solution of given inequality 3s ≤ 19 ...... (1) then , it must satisfy the inequality.
Putting s = - 6 in equation (1) , we get
[tex]3(-6)\leq 19\\-18\leq 19[/tex]
As the above condition is true so , s = - 6 is the solution of given inequality.
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