192k views
4 votes
Can somebody help me with this math problem?

Can somebody help me with this math problem?-example-1
User Mehowthe
by
4.9k points

2 Answers

7 votes

Answer:

B

Explanation:

Solve each inequality separately

2x + 3 ≥ 7 ( subtract 3 from both sides )

2x ≥ 4 ( divide both sides by 2 )

x ≥ 2

or

2x + 9 > 11 ( subtract 9 from both sides )

2x > 2 ( divide both sides by 2 )

x > 1

x ≥ 2 satisfies the condition for both inequalities

Thus x ≥ 2 is the solution

User Rafael Martinez
by
5.4k points
3 votes

Hey there!

2x + 3 ≥ 7

SUBTRACT by 3 on your sides

2x + 3 - 3 ≥ 7 - 3

Cancel out: 3 - 3 because that gives you 0

Keep: 7 - 4 because it helps us solve for your answer

7 - 3 = 4

NEW EQUATION: 2x = 4

DIVIDE by 2 on your sides

2x/2 ≥ 4/2

Cancel out: 2/2 because it gives you 1

Keep: 4/2 because it helps us compare with your unknown number

4/2 = 4 ÷ 2 = 2

Answer #1: x ≥ 2 ✔

NOTE: it is a CLOSE circle shaded to the right

2x + 9 > 11

SUBTRACT by 9 on your sides

2x + 9 - 9 > 11 - 9

Cancel out: 9 - 9 because it equals

Keep: 11 - 9 because it helps us solve for your answer

11 - 9 = 2

NEW EQUATION: 2x > 2

DIVIDE by 2 on your sides

2x/2 > 2/2

Cancel out: 2x/2 because it gives you 1

Keep: 2/2 because it helps us compare with your unknown number

2/2 = 2÷2 = 1

Answer #2: x > 1 ✔

NOTE: Its a(n) OPEN circle shaded to the right

✅Your overall answer is: OPTIONS A and B ✅

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

User Mandeep Yadav
by
5.8k points