If you were to graph the inequality 35<7x
on a number line:(2 points)
Would you use an open or closed circle?
Would your arrow on the number line point to the left or to the right?
To graph the inequality 35<7x on a number line, we first need to simplify the inequality by dividing both sides by 7:
35/7 < 7x/7
5 < x
This means that x is greater than 5.
To graph this inequality on a number line, we use an open circle to represent the value 5 since the inequality is strictly greater than.
The arrow on the number line would point to the right, indicating that x is greater than 5.
can u explain
To graph the inequality 35 < 7x on a number line, you would first simplify the inequality by dividing both sides by 7:
35 / 7 < 7x / 7
5 < x
Now, let's interpret this inequality graphically:
1. Open or closed circle: Since the inequality is strict (less than), we would use an open circle to represent the number 5.
2. Arrow direction: The arrow on the number line would point to the right, indicating that the values of x greater than 5 are included in the solution set.
To graph the inequality 35 < 7x on a number line, we need to isolate x.
Step 1: Divide both sides of the inequality by 7:
35/7 < x
Simplifying, we have:
5 < x
This tells us that x must be greater than 5.
To graph this on a number line, we use an open circle to represent the value of 5, as it is not included in the solution.
Now, for the direction of the arrow on the number line, since the inequality states that x is greater than 5, the arrow would point to the right.