Solve the equation and inequality for x(2 points)
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ax+15=44
:
ax−44<15
:
To solve the equation ax + 15 = 44, we need to isolate x on one side of the equation.
We can do this by subtracting 15 from both sides of the equation:
ax + 15 - 15 = 44 - 15
ax = 29
Dividing both sides of the equation by a, we get:
x = 29/a
To solve the inequality ax - 44 < 15, we can follow similar steps:
First, we add 44 to both sides of the inequality:
ax - 44 + 44 < 15 + 44
ax < 59
So the solution to the inequality is:
x < 59/a
To solve the equation ax + 15 = 44:
1. Subtract 15 from both sides of the equation:
ax + 15 - 15 = 44 - 15
ax = 29
2. Divide both sides of the equation by 'a' to isolate x:
(ax)/a = 29/a
x = 29/a
To solve the inequality ax - 44 < 15:
1. Add 44 to both sides of the inequality:
ax - 44 + 44 < 15 + 44
ax < 59
So the solution to the inequality is x < 59/a.