Answer:
a>4
Step-by-step explanation:
-7a-11<1-4a
ADD 4a to both sides
-3a-11 <1
Add 11 to both sides
-3a <12
Divide both sides by 3
-a <4
Multiply by -1 both sides and FLIP SIGN
a>4
So a should be 5 ,6,7,8.........
On the number line you need to count from zero 4 units to the right (positive 4) Once you are in number 4 draw an open circle which means the 4 is NOT included) Draw a line from 4 to the right because it is bigger than 4.
Interval notation is (4,∞)
[ ] a square bracket when we want to include the number 4
( ) a round bracket when we don't want to include the number 4
Reduce the final answer if needed (or reduce when you multiply). A mixed number should be converted to an improper fraction (heavier on top) before simplifying. Change the numerator and denominator to single fractions<span> by creating a common denominator</span>
Answer:
Option (3).
Step-by-step explanation:
Option (1).
3(x - 1) = x + 2(x + 1) + 1
3x - 3 = x + 2x + 2 + 1
3x - 3 = 3x + 3 [Not True]
Therefore, this equation is not an identity.
Option (2).
x - 4(x + 1) = -3(x + 1) + 1
x - 4x - 4 = -3x - 3 + 1
-3x - 4 = -3x - 2 [Not true]
Therefore, this equation is not an identity.
Option (3).
2x + 3 = 
2x + 3 = 2x + 1 + 2
2x + 3 = 2x + 3 [True]
Therefore, this equation is an identity.
Option (4).
3x - 1.5 = 3x + 3 - x - 2
3x - 1.5 = 2x + 1 [Not true]
Therefore, this equation is not an identity.
Answer:25(20)+10(10)=600
X Y
Step-by-step explanation: sell 20 (X) Large candles and sell 10 (Y) small candles
Answer:
Lateral Area = Area of 2 triangle + Area of slant rectangle + area of back rectangle
Lateral Area = (5m)(3m) + (6m) (36m) + (3m) (36m)
LA = 15m² + 216m² + 108m²
LA = 339 m²
SA = (5m)(3m) + (6m) (36m) + (3m) (36m) + (5m)(36m)
SA = 15m² + 216m² + 108m² + 180 m²
SA = 519 m²
