THIS IS ONLY FOR 7TH GRADERS
APPLICATIONS OF INEQUALITIES QUICK CHECK
1: 1/3n + 4.5 < 38.9, where n is equal to the number.
2: 2d+ 3 >15, where d is the number of days.
3: n < 103.5
4: n > 45
5: w > 8.6
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Also have Practice answers.
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1: 2x - 10 > 52
2: 3/4 x +11< 112
3:5x +50 > 63
4: x < 31
5:x > 4
Don't listen to bot
100% Correct
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HE IS CORRECT! THANK YOU SO MUCH I NEEDED HELP WITH THE QUICK CHECK!!!!
To solve inequality problems like the ones provided, you will need to follow some basic steps. I will explain the steps and then provide the solutions for each problem.
Step 1: Read and understand the inequality problem. Identify the variable and the inequality symbol (>, <, ≥, or ≤) being used.
Step 2: Isolate the variable on one side of the inequality symbol. Use reverse operations to move constant terms to the opposite side of the inequality.
Step 3: Solve for the variable by performing any necessary operations, keeping the inequality symbol in mind.
Step 4: Check the solution by substituting it back into the original inequality. If the inequality is true, then the solution is correct.
Now let's solve the first set of problems:
1: 1/3n + 4.5 < 38.9
- Subtract 4.5 from both sides to isolate the variable.
1/3n < 34.4
- Multiply both sides by 3 to eliminate the fraction.
n < 103.2
2: 2d + 3 > 15
- Subtract 3 from both sides to isolate the variable.
2d > 12
- Divide both sides by 2.
d > 6
3: n < 103.5
- No further calculations needed. The solution is already provided.
4: n > 45
- No further calculations needed. The solution is already provided.
5: w > 8.6
- No further calculations needed. The solution is already provided.
Now let's solve the second set of problems:
1: 2x - 10 > 52
- Add 10 to both sides to isolate the variable.
2x > 62
- Divide both sides by 2.
x > 31
2: 3/4 x + 11 < 112
- Subtract 11 from both sides to isolate the variable.
3/4 x < 101
- Multiply both sides by 4/3 to eliminate the fraction.
x < 134.67
3: 5x + 50 > 63
- Subtract 50 from both sides to isolate the variable.
5x > 13
- Divide both sides by 5.
x > 2.6
4: x < 31
- No further calculations needed. The solution is already provided.
5: x > 4
- No further calculations needed. The solution is already provided.
These are the solutions to the inequality problems. Remember to always double-check your solutions by substituting them back into the original inequality to ensure they are valid.
2x - 10 _< 52
the practice problems 1,3,4,5 are wrong please fix
For the first quick check:
1: To solve for n in the inequality, we need to isolate it.
1/3n + 4.5 < 38.9
Subtract 4.5 from both sides.
1/3n < 34.4
Multiply both sides by 3 to get rid of the fraction.
n < 103.2
2: To solve for d in the inequality, we need to isolate it.
2d + 3 > 15
Subtract 3 from both sides.
2d > 12
Divide both sides by 2.
d > 6
3: The inequality is already solved for n.
4: The inequality is already solved for n.
5: The inequality is already solved for w.
For the practice answers:
1: To solve for x in the inequality, we need to isolate it.
2x - 10 > 52
Add 10 to both sides.
2x > 62
Divide both sides by 2.
x > 31
2: To solve for x in the inequality, we need to isolate it.
3/4x + 11 < 112
Subtract 11 from both sides.
3/4x < 101
Multiply both sides by 4/3 to get rid of the fraction.
x < 134.67
3: To solve for x in the inequality, we need to isolate it.
5x + 50 > 63
Subtract 50 from both sides.
5x > 13
Divide both sides by 5.
x > 2.6
4: To solve for x in the inequality, we need to isolate it.
x < 31
5: To solve for x in the inequality, we need to isolate it.
x > 4