Question

solve for x: -5 is less than or equal to 2(2x+5)-7<12

thanks :)

Answer 1

-5 < 2(2x+5)-7 <12

-5 ≤ 4x+3 < 12
subtract 3

-8 ≤ 4x < 9
divide by 4

-2 ≤ x < 2.25

Answer 2

2(2x+5)-7<12
2(2(-5)+5)-7<12
2(-10+5)-7<12
2(-5)-7<12
-10-7<12
-17<12

Answer 3

neither of those solve for x...how do i continue from -2 is less than or equal to x<(9/4)?

Answer 4

-2 ≤ x < 2.25 is the solution

It means that x can be any number between -2 and +2.25
including the -2, but excluding the +2.25

On a number line, mark -2 and 2.25
place a solid circle on the -2, meaning that value is included
place an open circle on the 2.25, meaning we can't have the actual 2.25
join the two circles with a solid line, showing you want all possible values in between.

To be able to answer your question, you must have studied the method I just described.

Answer 5

oh ok. thanks.