How do you write an algebraic expression, an equation, or an inequality of "The difference of 10 and the square of a number z is less than 18"?

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Answer 1 · 2015-10-01T11:47:50

#|z^2-10|<18#

This is an inequality and is written by simply converting the words into an algebraic format.

Answer 2 · 2015-10-01T11:52:22

#abs(10-z^2) < 18#

The difference of 10 and #color(blue)(" the square of a number "z)# is less than 18
The difference of 10 and #color(blue)(z^2)# is less than 18

The #color(red)("difference of "10" and "z^2)# is less than 18
The #color(red)(abs(10-z^2)# is less than 18

The abs(10-z^2)#color(green)(" is less than "18)#
The #color(green)(abs(10-z^2) < 18)#