Emma wants to plant roses and tulips in her yard she would like to plant at least 50 of those flowers but she wants to plant less than 20 tulips write a system of inequalities that represent that situation let r=number of roses and t=number of tulips.

t + r >= 50, t < 20

Step-by-step explanation:

Number of roses = r

Number of tulips = t

Minimum No. of Flowers to plant: 50

t + r >= 50

Tulips to plant : Less than 20

t < 20

t + r ≥ 50

t < 20

Step-by-step explanation:

Let the number of roses Emma wants to plant = r

Let the number of tulips = t

Now the statement says,

" Emma wants to plant at least 50 roses and tulips "

Since the symbol of at least is defined by "greater than equal to" so the inequality will be

t + r ≥ 50

" She wants to plant less than 20 tulips"

t < 20

Therefore, two inequalities that will represent the situation will be

t + r ≥ 50

t < 20

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step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!