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)
