<span>10 < –2b or 2b + 3 > 11 represents 2 different sets of numbers.
</span><span>10 < –2b can be reduced by dividing both sides by -2; you must then reverse the direction of the < sign: -5 > b, which is the interval b < -5: (-infinity, -5).
</span>2b + 3 > 11 reduces to 2b > 8, which in turn reduces to b > 4: (4, infinity).
It may be helpful to graph these sets.
If you really do mean "<span>10 < –2b or 2b + 3 > 11," then the "solution" is made up of two sub-intervals: b < -5 and b > 4.
</span>
11-5=6
18-11-7
26-18=8
........... so on and so forth.
I think you get the point.
Answer:
Step-by-step explanation:
False (APEX)
Hey there!
14 + 3y < 65
SOME people replace “<”, “>”, “≥”, or “≤” as an equal sign (=) to make it easier to solve
14 + 3y < 65
14 + 3y = 65
SUBTRACT by 14 on both of your sides
3y + 14 - 14 = 65 - 14
CANCEL out: 14 - 14 because that gives you 0
KEEP: 65 - 14 because it helps you solve for “y”
**65 - 14 = 51**
NEW EQUATION: 3y = 51
DIVIDE by 3 both of your sides
3y/3 = 51/3
CANCEL out: 3/3 because that gives you 1
KEEP: 51/3 because it gives you the value of “y”
NEW EQUATION: y = 51/3
**51/3 = 17**
Answer: y = 17 ☑️
☑️ OVERALL ANSWER FOR YOU: y < 17 ☑️
NOTE: it’s an OPEN circle SHADED to the LEFT
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
