Pls help with this question on inequalities
7p-3+6≤4-6p
Answers
Answer:
Before you get started, take this readiness quiz.
Translate from algebra to English: 15>x.
If you missed this problem, review (Figure).
Solve: n-9=-42.
If you missed this problem, review (Figure).
Solve: -5p=-23.
If you missed this problem, review (Figure).
Solve: 3a-12=7a-20.
If you missed this problem, review (Figure).
Graph Inequalities on the Number Line
Do you remember what it means for a number to be a solution to an equation? A solution of an equation is a value of a variable that makes a true statement when substituted into the equation.
What about the solution of an inequality? What number would make the inequality x>3 true? Are you thinking, ‘x could be 4’? That’s correct, but x could be 5 too, or 20, or even 3.001. Any number greater than 3 is a solution to the inequality x>3.
We show the solutions to the inequality x>3 on the number line by shading in all the numbers to the right of 3, to show that all numbers greater than 3 are solutions. Because the number 3 itself is not a solution, we put an open parenthesis at 3. The graph of x>3 is shown in (Figure). Please note that the following convention is used: light blue arrows point in the positive direction and dark blue arrows point in the negative direction.
The inequality x>3 is graphed on this number line.
Answer:
Step-by-step explanation:
