Select all possible solutions for 2x+7<=3x-5

Mathematics

2 answers:

ss7ja [257]4 years ago

7 0

12 is the solution. I couldn't find any others!

Ymorist [56]4 years ago

3 0

Answer:

12, 18, 24, 107

Step-by-step explanation:

Our inequality is

2x+7 ≤ 3x-5

First we will subtract 3x from each side:

2x+7-3x ≤ 3x-5-3x

-1x+7 ≤ -5

Subtract 7 from each side:

-1x+7-7 ≤ -5-7

-1x ≤ -12

Divide both sides by -1:

-1x/-1 ≤ -12/-1

When we multiply or divide an inequality by a negative number, we flip the inequality symbol:

x ≥ 12

We want numbers that are equal to or larger than 12; this leaves us with

12, 18, 24, and 107.

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