Question

Solve the equation and inequality for x, assuming a > 0.
ax+15=44 solution
ax-15<44 solution

Answer 1

Which expression leaves you with the largest number on the number line?
10^8/10^14
10^18/10^8
10%x10^-4x10^11
(10^-2)^-7

Answer 2

To solve the equation: ax + 15 = 44

Subtract 15 from both sides of the equation to isolate the variable x:

ax + 15 - 15 = 44 - 15

ax = 29

Divide both sides of the equation by a to solve for x:

x = 29 / a


To solve the inequality: ax - 15 < 44

Add 15 to both sides of the inequality:

ax - 15 + 15 < 44 + 15

ax < 59

Divide both sides of the inequality by a (since a > 0, we can safely divide by a without changing the direction of the inequality):

x < 59 / a

Thus, the solution for the inequality is x < 59 / a.

Answer 3

To determine which expression leaves you with the largest number on the number line, we can simplify each expression and compare the results.

1. 10^8 / 10^14 = 1 / 10^6 = 0.000001

2. 10^18 / 10^8 = 10^10

3. 10% * 10^-4 * 10^11 = 0.1 * 0.0001 * 10^11 = 0.000001 * 10^11 = 0.0000010^11 = 10^5

4. (10^-2)^-7 = 10^14

Comparing the results, we can see that the expression 10^18 / 10^8 = 10^10 leaves you with the largest number on the number line.