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5-x/4 less than or equal to 4x

User Pesch
by
4.8k points

1 Answer

2 votes

Answer:

x ≥ 20/17

or

x ≥ 1.18

Explanation:

According to given conditions:

5 - x/4 ≤ 4x

Simplifying equation to get value of x:

Making denominator same by multiplying 5 with 4/4

5*4/4 - x/4 ≤ 4x

20/4 -x/4 ≤ 4x

Taking 1/4 common

1/4(20 -x) ≤ 4x

Multiplying by 4 on both sides:

1/4*4(20 -x) ≤ 4 * 4x

20 -x ≤ 16x

Adding x on both sides:

20 -x + x ≤ 16x + x

20 ≤ 17 x

Dividing by 17 on both sides

20 /17 ≤ x

This can also be written as:

x ≥ 1.18

I hope it will help you!

User Lothric
by
5.1k points