Question
make a number line represents the solution of 4x−9≥−2
Answers
GPT 3.5
To represent the solution of the inequality 4x - 9 ≥ -2 on a number line, follow these steps:
Step 1: Solve the inequality for x:
Start by isolating x.
4x - 9 ≥ -2
Add 9 to both sides of the inequality.
4x ≥ 7
Divide both sides by 4.
x ≥ 7/4 or x ≥ 1.75
Step 2: Plot the number line:
Draw a horizontal line.
Mark a point at 1.75 on the number line. Since x is greater than or equal to 1.75, this point should be filled in or shaded.
Step 3: Indicate the interval:
Since the inequality includes x ≥ 1.75, place an arrow to the right of 1.75 to indicate the interval where x is greater than or equal to 1.75.
The number line representing the solution to the inequality 4x - 9 ≥ -2 is as follows:
<-----------------------o========================>
Step 1: Solve the inequality for x:
Start by isolating x.
4x - 9 ≥ -2
Add 9 to both sides of the inequality.
4x ≥ 7
Divide both sides by 4.
x ≥ 7/4 or x ≥ 1.75
Step 2: Plot the number line:
Draw a horizontal line.
Mark a point at 1.75 on the number line. Since x is greater than or equal to 1.75, this point should be filled in or shaded.
Step 3: Indicate the interval:
Since the inequality includes x ≥ 1.75, place an arrow to the right of 1.75 to indicate the interval where x is greater than or equal to 1.75.
The number line representing the solution to the inequality 4x - 9 ≥ -2 is as follows:
<-----------------------o========================>