Answer:
x<3 number line: < ---------------3 - - - - - > (open circle/parentheses on 3)
Step-by-step explanation:
first, solve for x:
2x+1<7 <-- treat the less than sign as an equal sign
2x+1=7 <-- get x by itself on the left hand side by subtracting 1 from both sides
-1 -1
2x=6 <--- divide both sides by 2 to get x by itself
2x/2 = x 6/2 = 3
x=3 < -- substitute the less than symbol back into the equation to get x<3
to plot on a number line:
x is less than 3, so on the number line, any real numbers to the left of three will be true for this equation
< ---------------3 - - - - - >
since 3 is not included in the answer, there would be an open circle or a parentheses where 3 is.
we know 3 is not included in the answer because of the inequality sign. if the inequality symbol is ≥ or ≤, then the answer on the number line would be a closed circle or a bracket.
in interval notation, the answer would be (-∞,3)
The answer is n+2
Each input will produce the output of 2 is added to it.
Use PEMDAS who's means: parentheses, exponents, multiplication, division, addition, and subtraction.. go in that order to solve all of those.
7x+8y=19
-6x -8y=18
--------------- <em>Add both equations</em>
x = 37
Using x = 37 in the first equation:
7(37)+8y=19
259+8y = 19
8y = 19 - 259
8y = -240
y = -240/8
<h3>y = -30</h3>