To solve the inequality 5w - 13 < 42, we need to isolate the variable w.
Add 13 to both sides of the inequality:
5w - 13 + 13 < 42 + 13
Simplifying:
5w < 55
Divide both sides of the inequality by 5:
(5w)/5 < 55/5
w < 11
Therefore, the solution to the inequality 5w - 13 < 42 is w < 11.
Solve the inequality for w
5w - 13 < 42
11 answers
Solve the inequality for y
24 > y/4 + 16
24 > y/4 + 16
To solve the inequality 24 > y/4 + 16, we need to isolate the variable y.
Subtract 16 from both sides of the inequality:
24 - 16 > y/4 + 16 - 16
Simplifying:
8 > y/4
Multiply both sides of the inequality by 4 to get rid of the fraction:
4 * 8 > y/4 * 4
Simplifying:
32 > y
Therefore, the solution to the inequality 24 > y/4 + 16 is y < 32.
Subtract 16 from both sides of the inequality:
24 - 16 > y/4 + 16 - 16
Simplifying:
8 > y/4
Multiply both sides of the inequality by 4 to get rid of the fraction:
4 * 8 > y/4 * 4
Simplifying:
32 > y
Therefore, the solution to the inequality 24 > y/4 + 16 is y < 32.
Solve the inequality for u
7 ≤ 2u - 9
7 ≤ 2u - 9
To solve the inequality 7 ≤ 2u - 9, we need to isolate the variable u.
Add 9 to both sides of the inequality:
7 + 9 ≤ 2u - 9 + 9
Simplifying:
16 ≤ 2u
Divide both sides of the inequality by 2:
(16)/2 ≤ (2u)/2
8 ≤ u
Therefore, the solution to the inequality 7 ≤ 2u - 9 is u ≥ 8.
Add 9 to both sides of the inequality:
7 + 9 ≤ 2u - 9 + 9
Simplifying:
16 ≤ 2u
Divide both sides of the inequality by 2:
(16)/2 ≤ (2u)/2
8 ≤ u
Therefore, the solution to the inequality 7 ≤ 2u - 9 is u ≥ 8.
Leila sold t-shirts at a festival and made a profit of $84. She made $6 for each t-shirt she sold. Her total expenses were $30. How many t-shirts did she sell?
Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 84, 6, and 30. Let x represent the number of t-shirts.
Solve the equation in part (a) to find the number of t-shirts.
Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 84, 6, and 30. Let x represent the number of t-shirts.
Solve the equation in part (a) to find the number of t-shirts.
The appropriate form of the equation to answer the question above is: Profit = (Number of t-shirts sold) * (Profit per t-shirt) - Expenses.
In this case, the equation is:
84 = (x) * (6) - 30
To solve for x, isolate the variable by adding 30 to both sides of the equation:
84 + 30 = 6x
114 = 6x
Next, divide both sides of the equation by 6 to solve for x:
114/6 = 6x/6
x = 19
Therefore, Leila sold 19 t-shirts.
In this case, the equation is:
84 = (x) * (6) - 30
To solve for x, isolate the variable by adding 30 to both sides of the equation:
84 + 30 = 6x
114 = 6x
Next, divide both sides of the equation by 6 to solve for x:
114/6 = 6x/6
x = 19
Therefore, Leila sold 19 t-shirts.
Solve the inequality for x.
15 + x ≥ 7
15 + x ≥ 7
To solve the inequality 15 + x ≥ 7, we need to isolate the variable x.
Subtract 15 from both sides of the inequality:
15 + x - 15 ≥ 7 - 15
Simplifying:
x ≥ -8
Therefore, the solution to the inequality 15 + x ≥ 7 is x ≥ -8.
Subtract 15 from both sides of the inequality:
15 + x - 15 ≥ 7 - 15
Simplifying:
x ≥ -8
Therefore, the solution to the inequality 15 + x ≥ 7 is x ≥ -8.
Simplify your answer as much as possible.
The solution to the inequality 15 + x ≥ 7 simplified is x ≥ -8. There is no further simplification possible.