Question

Simplify 7u-26<-5(2-3u)

Answer 1

The simplify form of the given inequality 7u-26<-5(2-3u) is
`\[ u > (9)/(2) \]`

Step-by-step explanation:

The given inequality is 7u - 26 < -5(2 - 3u). To solve for u, we first distribute the -5 on the right side:

7u - 26 < -10 + 15u

Next, we can rearrange the terms by subtracting 7u from both sides and adding 26 to both sides:

26 < 8u - 10

Now, add 10 to both sides:

36 < 8u

Divide both sides by 8 to isolate u:

`\[ u > (36)/(8) \]`

This can be further simplified:

`\[ u > (18)/(4) \]`

Finally, Simplifying the fraction:

`\[ u > (9)/(2) \]`

So, the solution to the inequality is
`\(u > (9)/(2)\)`, or in decimal form, u > 4.5.