I need help with solving inequalities on a number line. Can anyone help me?
if you can plz respond thx
google can help, since you seem just to want a general explanation.
an open circle means that an expression is greater than or less than. a filled in circle means that an expression is greater than or equal to, or less than or equal to. for example, 3 ≥ x would be represented by a filled in circle over the 3 on a number line, moving to the left since x could possibly be less than 3.
Of course! I'd be happy to help you with solving inequalities on a number line. Here's a step-by-step guide to get you started:
Step 1: Write down the inequality. For example, let's say we have the inequality "x > 3", where x is the variable we're solving for.
Step 2: Draw a number line. Place a point on the number line to represent the number 3. This point will help us visualize the solution.
Step 3: Determine the direction of the inequality. In this case, since the inequality is "x > 3", the inequality sign ">" indicates that the solution is on the right side of the number line, greater than 3.
Step 4: Shade the appropriate region on the number line. To represent the solution, shade the region on the number line to the right of the point representing 3.
Step 5: Indicate whether the endpoint is included or excluded in the solution. In this example, since the inequality is "x > 3" and not "x ≥ 3" (which includes the endpoint), the point representing 3 should be an open circle (not filled in).
Step 6: Label the shaded region. To make it clear which part of the number line represents the solution, you can label the shaded region with a sign, such as an arrow pointing to the right, or simply write the solution interval, like "(3, ∞)".
That's it! You have solved the inequality on the number line. Remember, this process can be applied to both greater-than and less-than inequalities. If you have another specific inequality you'd like help with, feel free to let me know!