Solve the inequality 5x7 < 2x - 1
1 answer:
x is strictly less than 2 or x ∈ (-∞, 2)
Given: inequality 5x - 7 < 2x - 1
What are inequalities?
Inequalities are statements that are represented as comparison between two or more numbers or algebraic expressions.(strictly less, strictly great, greater, lesser)
Solving the given equation:
5x - 7 < 2x - 1
=> 5x - 7 - 2x < 2x - 1 - 2x
=> 3x - 7 < -1
=> 3x - 7 + 7 < -1 + 7
=> 3x < 6
=> x < 2
Therefore, x is strictly less than 2.
Hence x ∈ (-∞, 2)
The number line is attached below.
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Disclaimer: The given question is incomplete. The complete question is given below.
Solve the inequality 5x - 7 < 2x - 1
On the number line, represent the solution
(number line -5 to 5)
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The bakers at Healthy Bakery can make 170 bagels in 2 hours.
To find:
How many bagels can they bake in 14 hours and the rate per hour.
Solution:
We have,
Number of bagels the bakers can bake in 2 hours = 170 bagels
Number of bagels the bakers can bake in 1 hours = bagels
= 85 bagels
Therefore, the average rate is 85 bagels per hour.
Number of bagels the bakers can bake in 14 hours = bagels
= 1190 bagels
Therefore, the bakers can bake 1190 bagels in 14 hours.