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Solve the first part of the inequality: 4 − 3x < x + 12.
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Step-by-step solution
12 stepsSolve the first part of the inequality
.
Subtract from both sides:
Subtract 4 from both sides:
Divide by . Remember to reverse the inequality sign when dividing by a negative number:
Solve the second part of the inequality
.
Multiply both sides by 2:
Add to both sides:
Subtract 24 from both sides:
Divide by 5:
Combine the solutions.
We have and . This can be written as:
Illustrate the solution on a number line.
The solution includes all numbers greater than and less than or equal to 1. On a number line, this is represented by an open circle at (since is not included), a closed circle at 1 (since 1 is included), and a line segment connecting these two points.
<-----|-----|-----|-----|-----|-----|-----|-----> -3 -2 -1 0 1 2 3 o------------------•The solution is .
Evaluate each term in the expression.
Substitute the evaluated terms back into the expression.
Simplify the numerator.
Simplify the denominator.
Divide the simplified numerator by the simplified denominator.
The evaluated expression is .
Calculate the amount in Kenya Shillings (Ksh) the tourist received from changing South African Rands (SAR).
On 12/1/2024, the tourist sells SAR to the bank, so the bank buys SAR.
Buying rate for 1 SAR = 7.08 Ksh.
Amount in Ksh = .Calculate the remaining Kenya Shillings after spending.
Amount spent = 53 075 Ksh.
Remaining Ksh = .Calculate the amount in Tanzanian Shillings (Tsh) the tourist received from changing the remaining Kenya Shillings.
On 12/2/2024, the tourist buys Tsh from the bank, so the bank sells Tsh.
Selling rate for 100 Tanzanian Shillings = 21.25 Ksh.
This means 1 Tsh = .
Amount in Tsh =
Amount in Tsh = .The amount received in Tanzanian shillings is .
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