Write a compound inequality containing the word or solve and graph your inequality
What inequality did you write? We cannot graph here.
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To write a compound inequality containing the word "or," we can start by understanding what it means. "Or" in this context implies that we are looking for a solution that satisfies one condition or another, or both.
Let's say we want to write a compound inequality for the statement: "x is greater than 3 or x is less than -5."
To express this inequality, we can write it in mathematical notation as:
x > 3 or x < -5
This states that x should be greater than 3 or x should be less than -5, or both conditions can be satisfied simultaneously.
To solve and graph this compound inequality, we will need to represent the solution graphically on a number line.
First, let's solve for x > 3:
Step 1: Represent the inequality x > 3 as a dotted line (since it is not inclusive) on the number line.
Step 2: Shade the region to the right of the dotted line, indicating that x is greater than 3.
Next, let's solve for x < -5:
Step 3: Represent the inequality x < -5 as a dotted line (since it is not inclusive) on the number line.
Step 4: Shade the region to the left of the dotted line, indicating that x is less than -5.
Finally, we can combine the two solutions:
Step 5: Combine the shaded regions for x > 3 and x < -5 to show the possible values that satisfy the compound inequality.
The resulting graph will show a shaded region to the left of -5 and a shaded region to the right of 3, indicating all possible values of x that satisfy the compound inequality x > 3 or x < -5.