Erik and Nita are playing a game with numbers. In the game, they each think of a random number from zero to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers is greater than 10, then Nita wins. Use what you know about inequalities and absolute values to better understand the game.1. a) Which player did you select? (1 point)1. b) What number did the other player pick?2. Should you use an equation or an inequality to represent the ways your player can win? Explain why. (2 points: 1 point for an answer, 1 point for an explanation)3. If Erik had a 4 and Nita had a 12, would the winner be different if Nita got the 4 and Erik got the 12? . Is it appropriate to use an absolute value function to represent how people win this game? Why? 5. If your player is Erik, write an expression that shows all of the ways that Erik will win if Nita chooses 7. If your player is Nita, write an expression that shows all of the ways that Nita will win if Erik chooses 17.Be sure to define your variable. . In order to graph your solutions, solve for the variable. Be sure to show your work.7. Sketch a graph of your solutions. 8. What is the range of numbers that will win the game for your player?If your player is Erik, assume that Nita chooses 7. If your player is Nita, assume that Erik chooses 17.(Hint: Remember that Erik and Nita can only use numbers from zero to 20.)

Study published in the journal of personality and individual differences found that adults with adhd displayed more creative achievement than those who didn't have the disorder. "for the same reason that adhd might create problems, like distraction, it can also allow an openness to new ideas," says holly white, assistant professor of cognitive psychology. "not being completely focused on a task lets the mind make associations that might not have happened otherwise." white and priti shah at the university of michigan gave 60 college students – half of them with adhd – a series of tests measuring creativity across 10 domains. the adhd group scored higher across the board. the adhd group showed more of a preference for brainstorming and generating ideas than the non-adhd group, which preferred refining and clarifying ideas. the adhd status of the participants was established by asking whether the individual had ever been clinically diagnosed with adhd/add. the tests of creativity were pencil-and-paper tasks administered in a laboratory setting. each of the ten scales was comprised of multiple questions, the scores on which were summed (e. g., writing creativity: "how many words can you make from the letters in the word 'psychology' invention creativity: "write down as many uses for a paper clip that you can think of.") this procedure does allow for a participant to be scored as showing no creativity under these conditions. a) state the research question in plain language (i wonder if is related to (1 point) b) state the null hypothesis (1 point) c) state the research hypothesis (1 point) d) is the research hypothesis directional or non-directional (1 point) e) name the predictor / independent variable f) give the operational definition of the predictor / independent variable g) evaluate the construct validity of the predictor / independent variable. (face, procedure, method-match) h) name the outcome / dependent variable i) give the operational definition of the outcome / dependent variable. j) evaluate the construct validity of the outcome / dependent variable. (face, procedure, method-match)