 Practice Math Questions for Praxis: Solving Inequalities - dummies

# Practice Math Questions for Praxis: Solving Inequalities

Problems involving inequalities on the Praxis Core exam will usually require you to do some math—but they may also involve recognizing the symbols on a number line.

In the following practice questions, you start by solving an inequality, and then you need to match the inequality to its appropriate graph on a number line.

## Practice questions

1. The correct answer is Choice (C).

First, get the j terms on one side of the inequality by subtracting either 9j or 4j from both sides. Then undo everything that’s being done to j by performing opposite operations on both sides: The last inequality has j on one side and by itself on that side, so it’s the solution. Because the value of j is either 6 or something greater than 6, only Choice (C), 5, cannot be the value of j.

2. The correct answer is Choice (E).

Choice (E) is a graph in which the point representing 4 has a clear circle around it, indicating that 4 is a boundary for a region of the graph but isn’t part of the region. The line is darkened infinitely to the right of 4, representing all numbers that are greater than 4.

A darkened circle indicates that a number is included in a set, and it’s used when “or equal to” is involved in an inequality. Choice (D) is the graph for because the darkened circle shows that 4 is included in the solution set.