Solve each inequality.
1/5 is less than or equal to x/15
70-a is greater than or equal to 25
I am really confuse about this and I Don't want cheating, I just want steps because I am not really getting this at all. Thanks!
Also, this is for Ms.Sue, I know you say that you copy and paste the equation from a website but I really didn't have time to do that. Sorry
1/5 <= x/15
multiply each side by 15
3<=x
70-a >=25
add a to each side,
70>=25+a
subtact 25 from each side.
Ok thanks guys! Really helpful
No problem, I'm here to help you understand how to solve inequalities step by step.
1) Let's solve the inequality:
1/5 is less than or equal to x/15
To solve this inequality, we can use the same method as solving equations. However, there is an extra step when dividing or multiplying by a negative number. In this case, we won't encounter that scenario.
Step 1: Multiply both sides of the inequality by 15 to eliminate the fraction:
15 * (1/5) ≤ 15 * (x/15)
The inequality becomes:
3 ≤ x
So, the solution to the inequality is x ≥ 3.
2) Let's solve the inequality:
70-a is greater than or equal to 25
To solve this inequality, we need to isolate the variable 'a' by performing the necessary operations.
Step 1: Subtract 70 from both sides of the inequality to isolate 'a':
70 - 70 - a ≥ 25 - 70
The inequality becomes:
-a ≥ -45
Keep in mind that when you multiply or divide by a negative number, the direction of the inequality sign changes. Therefore, we need to divide by -1 to isolate 'a', and we should also flip the inequality sign.
Step 2: Divide both sides of the inequality by -1 and flip the direction of the inequality:
(-a)/(-1) ≤ (-45)/(-1)
The inequality becomes:
a ≤ 45
So, the solution to the inequality is a ≤ 45.
I hope these step-by-step explanations have helped you understand how to solve inequalities. If you have any more questions, feel free to ask.
1/5 ≤ x/15
Multiply both sides by 15.
70-a ≤ 25
Subtract 70 from both sides.