To solve the inequality, we need to isolate the variable z on one side of the inequality sign.
Subtracting 6 from both sides of the inequality, we have:
5z > 26 - 6
Simplifying the right side, we get:
5z > 20
To isolate z, we divide both sides of the inequality by 5:
z > 20/5
Simplifying the right side, we get:
z > 4
Therefore, the solution to the inequality is z > 4.
To check the solution, we can substitute a value that is greater than 4 into the original inequality and see if it holds true. Let's choose 5:
5(5) + 6 > 26
25 + 6 > 26
31 > 26
Since 31 is greater than 26, the inequality holds true when z = 5.
Therefore, the solution to the inequality is z > 4 and it is verified by substituting a value.
Solve the inequality. Check your solutions.
5z +6 >26
1 answer