Solve the inequality and graph the solution on the line provided.minus, 66, plus, 6, x, is greater than, minus, 42−66+6x>−42
Question
Solve the inequality and graph the solution on the line provided.
Inequality:
Solution
Step 1: Simplify the inequality
The inequality is -66 + 6x > -42.
Step 2: Isolate the variable
To isolate x, you first add 66 to both sides of the inequality to cancel out -66 on the left side:
-66 + 6x + 66 > -42 + 66
This simplifies to:
6x > 24
Then, you divide both sides by 6 to solve for x:
6x / 6 > 24 / 6
This simplifies to:
x > 4
Step 3: Graph the solution
To graph x > 4, you draw a number line, put a circle at 4 (because 4 is not included in the solution), and shade to the right of 4 (because x is greater than 4).
Similar Questions
Solve for xx and graph the solution on the number line below.26, is less than, 5, x, plus, 6, and, 66, is greater than, 5, x, plus, 626<5x+6and66>5x+6
−2(−2x−2)<2x−6−2(−2𝑥−2)<2𝑥−6Step 2 of 2 : Graph the solution to the given inequality.
Solve for xx and graph the solution on the number line below.8, x, is less than, 08x<0
Solve the inequality and graph the solution on the line provided.3, x, plus, 70, is greater than or equal to, 733x+70≥73AnswerAttempt 1 out of 2
Consider the following inequality:−3x+5≥3x−4−3𝑥+5≥3𝑥−4Step 2 of 2: Graph the solution to the given inequality.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.