Solve the compound inequality below. Write the solution set using set-builder notation. or

Question

Solve the compound inequality below. Write the solution set using set-builder notation.  or

Quizplus · Accepted Answer

This question is asking us to solve the compound inequality "11ebfdc1_ec16_6caf_abe3_63a21b629e07_TBX8727_11 or 11ebfdc1_ec16_6cb0_abe3_59ae37525349_TBX8727_11". This means we need to find all values that satisfy either one of the inequalities separated by "or".

To solve each inequality, we need to isolate the variable on one side. Let's start with the first one:

11ebfdc1_ec16_6caf_abe3_63a21b629e07_TBX8727_11

x - 3 ≤ -7

We can add 3 to both sides to isolate x:

x ≤ -4

Now let's solve the second inequality:

11ebfdc1_ec16_6cb0_abe3_59ae37525349_TBX8727_11

x + 2 > 6

We can subtract 2 from both sides:

x > 4

Therefore, the compound inequality "x - 3 ≤ -7 or x + 2 > 6" can be written as:

{x | x ≤ -4 or x > 4}

The best answer choice is B, which matches this set-builder notation.

Solve the Compound Inequality Below