A box contains cards that are numbered from 1 to 100. What is the probability of randomly selecting a number that is less than 1/100
1/12
11/100
12/100

1-100 cannot be more than 1 or 1 so the answer is 0/100

1-12 can be maximum 12/100

11/100 does not include 10 therefore 90/100

12/100 does not include 11 therefore 89/100

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:

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step-by-step explanation: