ok it says to solve each inequality and graph the solutions. T-3>5 and theres a number line from 10 to -10 plz help
add three to each side
T>8
so on the number line, put a small circle around8,then a line going to the right to 10
To solve the inequality T - 3 > 5, let's go step-by-step:
Step 1: Add 3 to both sides of the inequality to isolate the variable T:
T - 3 + 3 > 5 + 3
T > 8
Step 2: Now, we'll graph the solution on the number line from 10 to -10.
Start by marking the number line with an open circle at 8, as the inequality is strict (T > 8).
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
o
The open circle indicates that 8 itself is not included in the solution.
Step 3: Shade the region to the right of the open circle, as it represents all the numbers greater than 8 that satisfy the inequality T > 8.
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
o---------------->
This graph represents the solution to the inequality T - 3 > 5 on the number line from 10 to -10.
To solve the inequality T - 3 > 5, we need to isolate T on one side of the inequality sign. Here's how you can do it step by step:
Step 1: Add 3 to both sides of the inequality:
T - 3 + 3 > 5 + 3
T > 8
Step 2: Now that we have isolated T, we can interpret the inequality. T > 8 means that T is greater than 8.
Next, let's graph the solution on a number line from 10 to -10:
Step 1: Draw a horizontal line representing the number line.
Step 2: Identify the number 8 and mark it on the line.
Step 3: Since the inequality is "greater than," we need to indicate that the solution lies to the right of 8. You can do this by shading the region to the right of 8 or drawing an arrow pointing towards the right.
Your graph should show an arrow pointing towards the right from the number 8. This indicates that any value of T that is greater than 8 will satisfy the inequality.
Remember that the number line you described has a range from 10 to -10, so even though 8 is not within this range, we can still represent the solution graphically.