Part A:
To solve the equation ax - 5 = 18, we need to isolate x.
Adding 5 to both sides, we get:
ax - 5 + 5 = 18 + 5
ax = 23
To solve for x, we divide both sides by a:
x = 23/a
Part B:
To solve the inequality ax - 5 > 18, we need to isolate x.
Adding 5 to both sides, we get:
ax - 5 + 5 > 18 + 5
ax > 23
To solve for x, we divide both sides by a:
x > 23/a
Part C:
The difference between an equation and an inequality lies in the range of possible solutions. Equations typically have one unique solution, whereas inequalities can have multiple solutions or a range of values that satisfy the given conditions. When solving an equation, the goal is to find the exact value of the unknown variable. In contrast, when solving an inequality, the goal is to find all values that satisfy the given conditions, often resulting in a range of solutions or a set of values that make the inequality true.
Solve the equation and inequality for x.
Part A: Solve the equation for x showing all steps for credit: ax−5=18
Part B: Solve the inequality for x showing all steps for credit: ax−5>18
Part C: State the difference between an equation and an inequality regarding solving steps and solutions.
2 answers
is that suppose to be 23/a or 23 divided by a