Question

14 1/5 ≥ − 4 4/5 + 9x
I NEED A STEP BY STEP ON HOW TO DO IT AND THE ANSWER PLSSS

Answer 1

Answer and explanation

We solve the inequality in terms of the variable x, which means we want to isolate the x by moving all the terms to the left-hand side.

Step 1: We first start with addition/subtraction and add 4 4/5 (positive) to both sides to cancel out the -4 4/5 on the right-hand side.

Because the two mixed numbers have the same denominator, we're able to add the two whole numbers and the two fractions:

`14(1)/(5)(+4(4)/(5)) \geq -4(4)/(5)+9x(+4(4)/(5))\\ (14+4)+((1)/(5)+(4)/(5))\geq 9x \\19\geq 9x`

• We get 19 because 1/5 + 4/5 = 5/5 which simplifies to 1 and 18 (14 + 4) + 1 = 19

Step 2: Now, we must divide both sides by 9 to isolate the x and get the solution to the inequality:

`(19)/9\geq (9x)/9\\19/9\geq x\\2(1)/(9)\geq x`

You can either use keep the improper fraction (19/9) or further convert it to a mixed number.