Mathmatics Negative twelve times the difference of a number and eleven is less than one hundred fifty six

Question

Write the inequality, solve, and graph

i am in 6th grade. Help!

Answer 1

Let's let x represent the unknown number. Then we can write the following inequality to represent this situation:

-12 ( x -11 ) < 156

Then we can solve for all the x values that make this true using the distributive property and inverses operations:

-12x + 132 < 156

Subtract 132 from both sides of the inequality:

-12x + 132 -132 < 156 -132

-12x < 24

Divide bith sides of the inequality by -12. REMEMBER TO REVERSE THE DIRECTION OF THE INEQUALITY SYMBOL BECAUSE YOU ARE DIVIDING BY A NEGATIVE NUMBER!

-12x/-12 > 24/-12

x > -2 is the solution of the inequality, This means that any number greater than -2 is a valid solution for this inequality. To show this on a graph (number line), place a circle at -2. Leave it un-shaded (open) because it is less than only. Then shade all the values to right of -2 with a heavy arrow.