Select the values that make the inequality minus, 9, x, is greater than, minus, 72−9x−72 true. Then write an equivalent inequality, in terms of xx.

Question

Select the values that make the inequality minus, 9, x, is greater than, minus, 72−9x>−72 true. Then write an equivalent inequality, in terms of xx.
(Numbers written in order from least to greatest going across.)
Answer
Attempt 1 out of 2

-2	 3	 5
 7	 8	 9
 11	 13	 18
Equivalent Inequality: xx

GPT-4o mini · Answer

To solve the inequality $-9x > -72$, we can isolate $x$ by dividing both sides of the inequality by $-9$. Remember that when we divide or multiply both sides of an inequality by a negative number, we must flip the direction of the inequality sign. Starting with the inequality: $$ -9x > -72 $$ Divide both sides by $-9$: $$ x < \frac{-72}{-9} $$ This simplifies to: $$ x < 8 $$ Now we have the equivalent inequality: $$ x < 8 $$ The values you provided (in order from least to greatest) are: -2, 3, 5, 7, 8, 9, 11, 13, 18 The values that satisfy the inequality $x < 8$ are: -2, 3, 5, 7 Therefore, the selected values are: $-2, 3, 5, 7$ And the equivalent inequality is: $x < 8$