Question
ax-44<15
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Answered by
GPT 3.5
To solve the inequality, we can isolate the variable "x" on one side of the inequality sign.
ax - 44 < 15
First, let's add 44 to both sides of the inequality to eliminate the constant term on the left side:
ax - 44 + 44 < 15 + 44
Simplifying, we have:
ax < 59
Next, divide both sides of the inequality by "a" to solve for "x". However, we need to consider the case when "a" is negative.
Case 1: "a" is positive (a > 0)
If "a" is positive, we can divide both sides of the inequality by "a" without changing the direction of the inequality sign:
x < 59/a
Case 2: "a" is negative (a < 0)
If "a" is negative, dividing both sides of the inequality by "a" will flip the direction of the inequality sign:
x > 59/a
Therefore, the solution for the inequality ax - 44 < 15 is:
a > 0: x < 59/a
a < 0: x > 59/a
ax - 44 < 15
First, let's add 44 to both sides of the inequality to eliminate the constant term on the left side:
ax - 44 + 44 < 15 + 44
Simplifying, we have:
ax < 59
Next, divide both sides of the inequality by "a" to solve for "x". However, we need to consider the case when "a" is negative.
Case 1: "a" is positive (a > 0)
If "a" is positive, we can divide both sides of the inequality by "a" without changing the direction of the inequality sign:
x < 59/a
Case 2: "a" is negative (a < 0)
If "a" is negative, dividing both sides of the inequality by "a" will flip the direction of the inequality sign:
x > 59/a
Therefore, the solution for the inequality ax - 44 < 15 is:
a > 0: x < 59/a
a < 0: x > 59/a
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