Question

"-3x" + 5 < "-10" Inequality 2: 7x + x - 4 > 28 Which of the following values makes BOTH inequalities TRUE? Select all that apply! 12 "-5" −152 "-8.25" 23 48 325

Answer 1

12, 23, 48, 325

Explanation:

So, when given two inequalities and asked to find the values that make both true, it is considered a system of equations. To solve a system of equation, you have to graph the inequalities and find where they intersect.

Inequality 1:

(-3x) + 5 < (-10)

Inequality 2:

7x + x - 4 > 28

simplifies to: 8x - 4 > 28

When graphed, the inequalities don't intersect, but rather have a similar shaded area overlapping from the point of 5 and greater.

Answers that apply from given list would be:

12, 23, 48, 325