We can solve the inequality by putting x=3 and y=8 in the given inequality. This is because ordered paired inequalities are denoted by (x,y). The given inequality possess the symbols for an absolute value of a number. On a number line the absolute value is the distance between the number and zero.
So, now solving the inequality, we have:
y<|x+2|+7
8<|3+2|+7
8<|5|+7
8<5+7
8<12
Hence, the statement is true - the ordered pair (3,8) is a solution to y<|x+2|+7
When it comes to ordered pairs in inequalities, they are represented with the (x,y) values. So the ordered pair (3,8) can be substituted in the inequality .
In this inequality we have the symbols for an absolute value of a number. The absolute value of any integer will always be a positive integer as it is just the number of spaces from the origin (0,0).
So we can simply substitute the values of x and y like so:
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This leaves us with 8<12 for the inequality making the statement true.
