Choose the correct solution and graph for the inequality.
z-65-14
I'm sorry, but the inequality you provided is incomplete. An inequality typically includes a comparison operator such as greater than (>), less than (<), greater than or equal to (≥), or less than or equal to (≤). Additionally, it usually involves an expression on both sides of the comparison operator.
Please provide the complete inequality so that I can help you find the correct solution and graph.
To solve the inequality z - 65 ≥ -14, you will need to add 65 to both sides of the equation to isolate z.
This gives you:
z - 65 + 65 ≥ -14 + 65
This simplifies to:
z ≥ 51
Therefore, the solution to the inequality is z ≥ 51.
To graph this inequality on a number line, you would draw a closed circle at 51 and shade to the right, indicating that any value equal to or greater than 51 is a solution to the inequality.
To solve the inequality z - 65 > 14, we need to isolate z on one side of the inequality sign.
Step 1: Add 65 to both sides of the inequality:
z - 65 + 65 > 14 + 65
z > 79
So, the solution to the inequality is z > 79.
To graph this solution on a number line, you would put an open circle on 79 (since z is not equal to 79) and shade to the right to represent all the values of z greater than 79.