Question

A solution to the compound inequality 17 less than or equal to 3 - 2x less than or equal to 21 is given below. Choose the statement that is true about the given solution.. . A] 17 less than or equal to 3 - 2x and 3 - 2x less than or equal to 21 B] 20 less than or equal to -2x and -2x less than or equal to 24 C] -10 greater than or equal to x and x greater than or equal to -12

Answer 1

17<=3-2x<=21 subtract 3 14<=-2x<=18 divide by 2 7<=-x<=9 now mutiply whole inequality by -1, this will reveres the inequality -7>=x>=-9 or -9<=x<=-7 so there are mistakes in the line the corrected lines are 17 less than or equal to 3 - 2x and 3 - 2x less than or equal to 21 (line one) 14 less than or equal to -2x and -2x less than or equal to 18 (line two) -7 greater than or equal to x and x greater than or equal to -9 (line three)