\( 1 \leftarrow \) Other than a no solution set, use interval notation to express the solution set and then graph the solution set on a number line. \[ 2 x+4>10 \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is B. The solution set is \( \varnothing \). (Type your answef using interval notation.)

To solve the inequality \( 2x + 4 > 10 \), we start by isolating \( x \). Subtract 4 from both sides: \[ 2x > 6. \] Next, divide both sides by 2: \[ x > 3. \] Therefore, in interval notation, the solution set is \( (3, \infty) \). On a number line, you would graph this by drawing an open circle at 3 (indicating that 3 is not included in the solution) and shading all the area to the right towards infinity. ___ If you’re curious about the implications of inequalities, this particular solution indicates all values greater than 3. For example, if \( x = 4 \), it satisfies the inequality since \( 2(4) + 4 = 12 > 10 \). So in practical situations, you can use this type of solution when determining acceptable values, like in optimization problems where certain limits need to be exceeded, such as budget thresholds or statistical benchmarks!