2x+3 is greater than or equal to 7 OR 2x+9 is greater than 11. Solve for x.

{ x ∣ x > 1 } or x ∈ ( 1 , ∞ )

Step-by-step explanation:

2 x + 3 > 7

 ⇒ 2 x > 4

(subtract 3 from both sides)

2 x + 3 > 7

 ⇒ x > 2

(divide both sides by 2)

2 x + 9 > 11

 ⇒  2 x > 2

(subtract 9 from both sides)

2 x + 9 > 11

 ⇒ x > 1

(divide both sides by 2)

if an  x -value is greater than 2, it will automatically be greater than 1. Thus, the solution set for  2 x+ 3 > 7  is a subset of the one for  2 x + 9 >11 .That means, all we need to do here is list the solution set for  2 x + 9 > 11 , and we're done.

The solution set we need is simply "all  x  such that  x  is greater than 1", or { x ∣ x > 1 }

or

x ∈ ( 1 , ∞ )

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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