Using mental math, solve the inequality 7+a>5+6. In the solution set, the variable a must be greater than what number?
To solve the inequality, we can simplify both sides of the equation separately.
On the left side, 7+a, we know that the variable a is being added to 7.
On the right side, 5+6, we can add the numbers together, which gives us 11.
So, the inequality becomes: 7+a > 11.
To determine the solution set, we want to find a value for a that makes this inequality true. To do this, we can subtract 7 from both sides of the inequality:
a > 11 - 7
Simplifying further gives:
a > 4
Therefore, the variable a must be greater than 4 in the solution set.