Question

solve the inequality. graph the solution on a number line and represent the solution in interval notation when possible. x + 7>4

b. the solution is all real numbers.
c. there is no solution.

which of the following is the graph of the solution set?

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the solution written in interval notation is

b. there is no solution. it is not possible to write interval notation.

Explanation:

Step1: Isolate the variable x

Subtract 7 from both sides of the inequality \(x + 7>4\). We get \(x+7 - 7>4 - 7\), which simplifies to \(x>- 3\).

Step2: Determine the graph

The solution \(x > - 3\) is represented on a number - line with an open circle at - 3 (since - 3 is not included in the solution) and an arrow pointing to the right.

Step3: Write in interval notation

The interval notation for \(x > - 3\) is \((-3,\infty)\).

Answer:

The solution written in interval notation is \((-3,\infty)\). The graph of the solution set is C (open circle at - 3 and arrow pointing to the right).