Math

QuestionSolve the inequality: 2(x1)+3>92(x-1)+3>9

Studdy Solution

STEP 1

Assumptions1. The given inequality is (x1)+3>9(x-1)+3>9 . We need to solve for xx

STEP 2

First, we simplify the left side of the inequality by distributing the 22 to both terms inside the parentheses.
2(x1)+=2x2+2(x-1)+ =2x -2 +

STEP 3

implify the left side of the inequality further by adding the constants.
2x2+3=2x+12x -2 +3 =2x +1

STEP 4

Now, we rewrite the original inequality with the simplified left side.
2x+1>92x +1 >9

STEP 5

To isolate xx, we first subtract 11 from both sides of the inequality.
2x+11>912x +1 -1 >9 -1

STEP 6

implify both sides of the inequality.
2x>82x >8

STEP 7

Finally, divide both sides of the inequality by 22 to solve for xx.
2x/2>/22x /2 > /2

STEP 8

implify both sides to get the solution.
x>4x >4So, the solution to the inequality 2(x1)+3>2(x-1)+3> is x>4x >4.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord