Two-Step Inequalities

Translate the following statement into an inequality: "Two more than the product of a number, x, and 6 is less than 17".

Answer explanation

"The product of a number, x, and 6" means that we are multiplying 6 times x. "Two more than..." means that we must add 2 to that product. "Is less than 17" tells us that we must use the less than inequality symbol.

Tags

CCSS.7.EE.B.4B

Tags

CCSS.7.EE.B.4B

Translate the following statement into an inequality: "4 subtracted from a number, x, is a maximum of 11".

Answer explanation

"4 subtracted from a number, x, means that we are taking 4 away from x. "A maximum of 11" means that we can include 11 in our solution set, but we must include values that are less than 11, as well. This is why we use the less than or equal to symbol.

Tags

CCSS.7.EE.B.4B

Tags

CCSS.6.EE.B.8

Translate the following statement into an inequality: "The product of a number, n, and -2 increased by 9 is no less than 21".

Answer explanation

"The product of a number, n, and -2" means we must multiply -2 and n together. "Increased by 9" means we must add 9 to that product. "Is no less than 21" means that we include values that are greater than or equal to 21.

Tags

CCSS.7.EE.B.4B

Answer explanation

The student used the wrong inequality symbol. "A minimum of 42" means the solution is greater than or equal to 42.