Which statement could represent the inequality 3m+14≤−12?(1 point) Responses Fourteen more than three times a number m is greater than or equal to −12. Fourteen more than three times a number m is greater than or equal to negative 12 . Fourteen more than three times a number m is less than or equal to −12. Fourteen more than three times a number m is less than or equal to negative 12 . Fourteen more than three times a number m is less than −12. Fourteen more than three times a number m is less than negative 12 . Three times a number m plus 14 is greater than or equal to −12.
Fourteen more than three times a number m is less than or equal to −12.
Deidre has $100 to spend on new clothes. She knows she wants to buy a pair of jeans for $32 and spend the rest on shirts. If each shirt costs $18, how many shirts can she buy? Which of the following inequalities represents this situation?(1 point) Responses 18c+32≥100 18 c plus 32 greater-than-or-equal-to 100 18c+32<100 18 c plus 32 less than 100 18c−32≤100 18 c minus 32 less-than-or-equal-to 100 18c+32≤100
18c+32≤100
Solve the following inequality: −3p+18<−9.(1 point) Responses p<−9 p less than negative 9 p<9 p less than 9 p>−9 p greater than negative 9 p>9 p greater than 9
To solve the inequality -3p+18<-9, we need to isolate the variable p.
First, subtract 18 from both sides:
-3p+18-18<-9-18
-3p<-27
Next, divide both sides by -3, remembering that dividing by a negative number reverses the inequality:
p>-27/-3
p>9
So the solution to the inequality is p>9.