Question

Instructions:Select the correct answer from each drop-down menu. The range of all real numbers x such that 2x − 5 < 7 and 4x + 10 > 6 is . The range of all real numbers x such that 2x − 5 < 7 or 4x + 10 > 6 is

Answer 1

In order to find the rang, solve for the first inequality:

2x - 5< 7

2x <12

x < 6

Solve for the second inequality:

4x +10 > 6
4x > -4
x > -1

Graph these two inequalities on a number line to see that their union is the complete number line. Note that for any number of x can either be greater than negative 1 or less than 6 and can be both.

so the answer is:

range of negative infinity to infinity. required to use parenthesis

(-∞, ∞)